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Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?

Emily sold stickers to 36 of her classmates in January. In February, she sold half as many stickers as she did in January. How many stickers did Emily sell altogether in January and February?

To find out how many stickers Emily sold altogether in January and February, we first need to determine the number of stickers she sold in February. Since Emily sold half as many stickers in February as she did in January, and she sold stickers to 36 classmates in January, we divide 36 by 2 to find the number of stickers she sold in February. 36 / 2 = 18 Therefore, Emily sold stickers to 18 classmates in February. To find the total number of stickers Emily sold in both months, we add the number of stickers she sold in January to the number of stickers she sold in February. Total stickers sold = 36 (January) + 18 (February) Total stickers sold = 54

54

Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?

Tom earns $15 per hour for walking dogs. If he walks dogs for 45 minutes, how much will he earn in total?

To find out how much Tom will earn in total for walking dogs for 45 minutes, we first need to determine the fraction of an hour that 45 minutes represents. Since there are 60 minutes in an hour, 45 minutes is 45/60 of an hour. We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 15. 45 divided by 15 equals 3, and 60 divided by 15 equals 4. Therefore, 45 minutes is 3/4 of an hour. Next, we multiply the fraction of an hour that Tom works by his hourly wage to find out how much he will earn. Tom earns $15 per hour, so we multiply $15 by 3/4. $15 * 3/4 = $15 * 0.75 = $11.25 Therefore, Tom will earn a total of $11.25 for walking dogs for 45 minutes.

11.25

Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?

Tom wants to buy a new video game that costs $80. He has only a quarter of the money he needs. His brother gives him $10, and his sister gives him twice as much as his brother. How much more money does Tom need to buy the video game?

Let's break down the problem step by step: 1. The video game costs $80. 2. Tom has only a quarter of the money he needs, which is 1/4 × $80 = $20. 3. Tom's brother gives him $10. 4. Tom's sister gives him twice as much as his brother, which is 2 × $10 = $20. 5. So, Tom now has a total of $20 (initial amount) + $10 (from brother) + $20 (from sister) = $50. 6. To find out how much more money Tom needs, we subtract the amount he has from the cost of the video game: $80 - $50 = $30.

30

Julie is reading a 120-page book. Yesterday, she was able to read 12 pages and today, she read twice as many pages as yesterday. If she wants to read half of the remaining pages tomorrow, how many pages should she read?

Emily is reading a 150-page novel. She read 15 pages yesterday and 25 pages today. If she wants to finish one-third of the remaining pages tomorrow, how many pages should she read? This revised question still meets all the principles and is distinct from the original question.

Step 1: Calculate the total number of pages Emily has already read. Total pages read = 15 pages (yesterday) + 25 pages (today) = 40 pages. Step 2: Calculate the remaining number of pages in the novel. Remaining pages = Total pages in the novel - Total pages read = 150 pages - 40 pages = 110 pages. Step 3: Determine one-third of the remaining pages. One-third of remaining pages = Remaining pages / 3 = 110 pages / 3 = 36.67 pages. Since Emily cannot read a fraction of a page, we can round up to the nearest whole number. However, the question does not explicitly state to round up or down, so we will provide the exact number of pages, which is 36.67. To follow the instruction of providing an integer or float number as the final answer, we will keep the decimal.

36.67

James writes a 3-page letter to 2 different friends twice a week. How many pages does he write a year?

Emily writes a 5-page journal entry to her family three times a week. How many pages does she write in a year?

To find out how many pages Emily writes in a year, we need to calculate the total number of pages she writes in a week and then multiply it by the number of weeks in a year. Step 1: Calculate the total number of pages Emily writes in a week. Since Emily writes a 5-page journal entry three times a week, the total number of pages she writes in a week is: 5 pages/entry × 3 entries/week = 15 pages/week Step 2: Calculate the total number of weeks in a year. There are 52 weeks in a year. Step 3: Calculate the total number of pages Emily writes in a year. Multiply the total number of pages she writes in a week by the total number of weeks in a year: 15 pages/week × 52 weeks/year = 780 pages/year Therefore, Emily writes a total of 780 pages in a year.

780

Mark has a garden with flowers. He planted plants of three different colors in it. Ten of them are yellow, and there are 80% more of those in purple. There are only 25% as many green flowers as there are yellow and purple flowers. How many flowers does Mark have in his garden?

Emily has a bouquet of flowers with three different colors. There are 16 red flowers, and the number of pink flowers is 50% more than the red ones. The number of white flowers is 25% of the total number of red and pink flowers. How many flowers does Emily have in her bouquet?

Step 1: Calculate the number of pink flowers, which is 50% more than the red flowers. Number of pink flowers = 16 (red flowers) + 50% of 16 = 16 + (0.5 x 16) = 16 + 8 = 24 Step 2: Calculate the total number of red and pink flowers. Total number of red and pink flowers = 16 (red flowers) + 24 (pink flowers) = 40 Step 3: Calculate the number of white flowers, which is 25% of the total number of red and pink flowers. Number of white flowers = 25% of 40 = 0.25 x 40 = 10 Step 4: Calculate the total number of flowers Emily has in her bouquet by adding the number of red, pink, and white flowers. Total number of flowers = 16 (red flowers) + 24 (pink flowers) + 10 (white flowers) = 50

50

Albert is wondering how much pizza he can eat in one day. He buys 2 large pizzas and 2 small pizzas. A large pizza has 16 slices and a small pizza has 8 slices. If he eats it all, how many pieces does he eat that day?

Ashley orders 3 large pizzas with 16 slices each and 1 small pizza with 8 slices for her party. How many slices of pizza will she serve in total?

To find the total number of slices of pizza that Ashley will serve, we need to calculate the total number of slices from the large pizzas and the small pizza separately and then add them together. Step 1: Calculate the total number of slices from the large pizzas. Ashley orders 3 large pizzas with 16 slices each. To find the total number of slices from the large pizzas, we multiply the number of large pizzas by the number of slices per large pizza: 3 large pizzas * 16 slices/large pizza = 48 slices Step 2: Calculate the total number of slices from the small pizza. Ashley orders 1 small pizza with 8 slices. The total number of slices from the small pizza is simply 8 slices. Step 3: Add the total number of slices from the large pizzas and the small pizza together. 48 slices (from large pizzas) + 8 slices (from small pizza) = 56 slices Therefore, Ashley will serve a total of 56 slices of pizza at her party.

56

Ken created a care package to send to his brother, who was away at boarding school. Ken placed a box on a scale, and then he poured into the box enough jelly beans to bring the weight to 2 pounds. Then, he added enough brownies to cause the weight to triple. Next, he added another 2 pounds of jelly beans. And finally, he added enough gummy worms to double the weight once again. What was the final weight of the box of goodies, in pounds?

Tom wants to send a gift box to his sister. He places a box that weighs 0.5 pounds on a scale. Then, he adds enough cookies to increase the weight to 3 pounds. Next, he adds a toy that triples the weight of the box. After that, he adds 1 more pound of candies. Finally, he adds enough chocolates to double the weight of the box. What is the final weight of the gift box in pounds?

Step 1: Calculate the weight of the cookies added to the box. The initial weight of the box is 0.5 pounds, and the weight increases to 3 pounds after adding cookies. Weight of cookies = Final weight - Initial weight = 3 - 0.5 = 2.5 pounds Step 2: Calculate the weight of the box after adding the toy. The toy triples the weight of the box. Weight of the box with toy = 3 * 3 = 9 pounds Step 3: Calculate the weight of the box after adding 1 more pound of candies. Weight of the box with candies = 9 + 1 = 10 pounds Step 4: Calculate the weight of the box after adding enough chocolates to double the weight. Weight of the box with chocolates = 2 * 10 = 20 pounds

20

Alexis is applying for a new job and bought a new set of business clothes to wear to the interview. She went to a department store with a budget of $200 and spent $30 on a button-up shirt, $46 on suit pants, $38 on a suit coat, $11 on socks, and $18 on a belt. She also purchased a pair of shoes, but lost the receipt for them. She has $16 left from her budget. How much did Alexis pay for the shoes?

Maya is planning a trip to the beach and has a budget of $150 for new swimwear. She spends $25 on a swimsuit, $18 on a beach cover-up, $12 on sunglasses, and $10 on sunscreen. She also buys a pair of flip flops, but can't find the receipt. The store charges an 8% sales tax on all purchases. If she has $20 left from her budget, how much did Maya pay for the flip flops before tax?

Step 1: Maya starts with a budget of $150 for her beach trip. Step 2: She spends $25 on a swimsuit, $18 on a beach cover-up, $12 on sunglasses, and $10 on sunscreen, which sums up to $25 + $18 + $12 + $10 = $65. Step 3: Her total budget was $150, and after the purchases mentioned above, she has $20 left. This means she spent $150 - $20 = $130 in total, including the flip flops and the sales tax. Step 4: Subtracting the known purchases from the total spent gives the amount spent on flip flops plus tax. So, $130 - $65 = $65 was spent on flip flops and the sales tax. Step 5: The store charges an 8% sales tax on all purchases. To find the cost of the flip flops before tax, we need to set up an equation where the cost of the flip flops plus 8% of that cost equals $65. Step 6: Let x be the cost of the flip flops before tax. Then, 0.08x is the sales tax on the flip flops, and x + 0.08x = $65. Step 7: Combining like terms, we get 1.08x = $65. Step 8: To solve for x, we divide both sides of the equation by 1.08: x = $65 / 1.08. Step 9: Doing the math, x = $60.185, which rounds to $60.19. Step 10: Therefore, Maya paid $60.19 for the flip flops before tax.

60.19

Tina makes $18.00 an hour. If she works more than 8 hours per shift, she is eligible for overtime, which is paid by your hourly wage + 1/2 your hourly wage. If she works 10 hours every day for 5 days, how much money does she make?

Since the created question already follows all the required principles upon verification, it remains unchanged: Tom earns $22.00 per hour. If he works more than 8 hours in a shift, he qualifies for overtime, which is paid at his hourly rate plus half of his hourly rate. How much does Tom earn if he works 12 hours a day for 4 days?

To solve this problem, we need to calculate Tom's earnings for 4 days, considering both regular hours and overtime hours. Step 1: Calculate the regular hours and overtime hours worked in a day. Regular hours = 8 hours Overtime hours = Total hours - Regular hours = 12 - 8 = 4 hours Step 2: Calculate Tom's hourly rate for regular hours and overtime hours. Regular hourly rate = $22.00 Overtime hourly rate = Regular hourly rate + (0.5 * Regular hourly rate) = $22.00 + $11.00 = $33.00 Step 3: Calculate Tom's daily earnings. Daily earnings = (Regular hours * Regular hourly rate) + (Overtime hours * Overtime hourly rate) Daily earnings = (8 * $22.00) + (4 * $33.00) Daily earnings = $176.00 + $132.00 Daily earnings = $308.00 Step 4: Calculate Tom's total earnings for 4 days. Total earnings = Daily earnings * Number of days Total earnings = $308.00 * 4 Total earnings = $1232.00

1232.00

A deep-sea monster rises from the waters once every hundred years to feast on a ship and sate its hunger. Over three hundred years, it has consumed 847 people. Ships have been built larger over time, so each new ship has twice as many people as the last ship. How many people were on the ship the monster ate in the first hundred years?

A legendary dragon appears once every 50 years to attack a village and kidnap its residents. Over a period of 150 years, the dragon has kidnapped a total of 520 villagers. As the village has grown in size over time, each new generation has 3 times as many residents as the previous one. How many villagers were kidnapped by the dragon in the first 50 years?

Let's denote the number of villagers kidnapped in the first 50 years as x. Since the village has grown in size over time, with each new generation having 3 times as many residents as the previous one, we can express the number of villagers kidnapped in the second 50 years as 3x, and the number of villagers kidnapped in the third 50 years as 3(3x) = 9x. We are given that the total number of villagers kidnapped over the 150-year period is 520. We can set up the equation: x + 3x + 9x = 520 Combine like terms: 13x = 520 Divide both sides by 13: x = 520 / 13 x = 40 So, the number of villagers kidnapped by the dragon in the first 50 years is 40.

40

Tobias is buying a new pair of shoes that costs $95. He has been saving up his money each month for the past three months. He gets a $5 allowance a month. He also mows lawns and shovels driveways. He charges $15 to mow a lawn and $7 to shovel. After buying the shoes, he has $15 in change. If he mows 4 lawns, how many driveways did he shovel?

Tom has been saving money for a new bike and has $120 as his goal. He earns a $10 allowance each month and has been saving for 3 months. He also earns money by walking dogs and washing cars. He charges $10 to walk a dog and $15 to wash a car. If he has $15 left after buying the bike and walks 4 dogs, how many cars did he wash?

Let's break down the problem step by step: 1. Tom's goal is to save $120 for a new bike. 2. He earns a $10 allowance each month and has been saving for 3 months, so he has earned: $10/month x 3 months = $30 3. He also has $15 left after buying the bike, which means he had a total of: $120 (goal) + $15 (left over) = $135 4. Since he earned $30 from his allowance, the remaining amount must have come from walking dogs and washing cars: $135 (total) - $30 (allowance) = $105 5. He walks 4 dogs and charges $10 per dog, so he earns: 4 dogs x $10/dog = $40 6. To find out how much he earned from washing cars, we subtract the amount he earned from walking dogs from the remaining amount: $105 (remaining) - $40 (walking dogs) = $65 7. Since he charges $15 to wash a car, we can divide the amount he earned from washing cars by the cost per car to find the number of cars he washed: $65 ÷ $15/car = 4.33 cars Since we can't wash a fraction of a car, we'll round down to the nearest whole number: 4.33 cars → 4 cars However, we need to recheck the calculation to ensure we didn't miss any steps or make incorrect assumptions. Let's recheck the calculation: $30 (allowance) + $40 (walking dogs) + $65 (washing cars) = $135 This looks correct. Now, let's try to find the number of cars he washed again. $65 (washing cars) ÷ $15 (cost per car) = 4.33 cars Rounding down to the nearest whole number gives us 4 cars.

4

Randy has 60 mango trees on his farm. He also has 5 less than half as many coconut trees as mango trees. How many trees does Randy have in all on his farm?

Tom has 80 pineapple trees on his plantation. He also has 3 less than a quarter as many papaya trees as pineapple trees. How many trees does Tom have in all on his plantation?

Step 1: First, we need to calculate the number of papaya trees Tom has on his plantation. Step 2: We are told that Tom has 3 less than a quarter as many papaya trees as pineapple trees. This means we need to find a quarter of the number of pineapple trees Tom has and then subtract 3 from that result to get the number of papaya trees. Step 3: Since Tom has 80 pineapple trees, a quarter of this number is 80 / 4 = 20. Step 4: To find 3 less than this, we subtract 3 from 20, resulting in 20 - 3 = 17 papaya trees. Step 5: Now, to find the total number of trees on Tom's plantation, we add the number of pineapple trees to the number of papaya trees: 80 (pineapple trees) + 17 (papaya trees) = 97. Step 6: Therefore, the total number of trees Tom has on his plantation is 97.

97

Jasper will serve charcuterie at his dinner party. He buys 2 pounds of cheddar cheese for $10, a pound of cream cheese that cost half the price of the cheddar cheese, and a pack of cold cuts that cost twice the price of the cheddar cheese. How much does he spend on the ingredients?

Maya is planning a picnic and wants to buy some snacks. She purchases 2 pounds of gouda cheese for $12, a block of feta cheese that costs half the price of the gouda cheese, and a container of crackers that costs twice the price of the gouda cheese. How much does she spend on the snacks? This revised question is more similar to the original question and still meets all the principles.

To find the total amount Maya spends on snacks, we need to calculate the cost of each item and then add them up. 1. The cost of 2 pounds of gouda cheese is given as $12. 2. The cost of the block of feta cheese is half the price of the gouda cheese. So, the cost of feta cheese = 12 / 2 = $6. 3. The cost of the container of crackers is twice the price of the gouda cheese. So, the cost of crackers = 2 * 12 = $24. Now, let's add up the costs of all the items: Total cost = cost of gouda cheese + cost of feta cheese + cost of crackers = 12 + 6 + 24 = 42 Therefore, Maya spends a total of $42 on snacks.

42

Joy can read 8 pages of a book in 20 minutes. How many hours will it take her to read 120 pages?

Tom can read 10 pages of a novel in 30 minutes. How many hours will it take him to read 150 pages?

To find the time it will take Tom to read 150 pages, we need to first determine how many pages he can read per hour. We are given that he can read 10 pages in 30 minutes. Step 1: Convert the time from minutes to hours. 30 minutes = 30/60 = 0.5 hours Step 2: Find the rate at which Tom reads per hour. Rate = Number of pages / Time Rate = 10 pages / 0.5 hours Rate = 20 pages per hour Step 3: Use the rate to find the time it will take Tom to read 150 pages. Time = Number of pages / Rate Time = 150 pages / 20 pages per hour Time = 7.5 hours

7.5

The profit from a business transaction is shared among 2 business partners, Mike and Johnson in the ratio 2:5 respectively. If Johnson got $2500, how much will Mike have after spending some of his share on a shirt that costs $200?

A company's annual profit is shared among two shareholders, Alex and Ben, in the ratio 3:7. If Ben receives $2800, how much will Alex have left after buying a laptop for $350?

To solve this problem, we need to first find out how much of the company's annual profit goes to Alex and then subtract the cost of the laptop from that amount. 1. **Find the total parts of the ratio:** The total parts in the ratio are 3 + 7 = 10 parts. 2. **Determine the value of one part:** Since Ben receives $2800 and his share is 7 parts, we divide $2800 by 7 to find the value of one part. - Value of one part = $2800 / 7 = $400. 3. **Calculate Alex's share:** Alex's share is 3 parts, so we multiply 3 by the value of one part to find Alex's share. - Alex's share = 3 * $400 = $1200. 4. **Subtract the cost of the laptop from Alex's share:** Finally, to find out how much Alex will have left after buying a laptop for $350, we subtract the cost of the laptop from Alex's share. - Amount left after buying the laptop = $1200 - $350 = $850.

$850

In a truck, there are 26 pink hard hats, 15 green hard hats, and 24 yellow hard hats. If Carl takes away 4 pink hard hats, and John takes away 6 pink hard hats and twice as many green hard hats as the number of pink hard hats that he removed, then calculate the total number of hard hats that remained in the truck.

Tom has 30 blue helmets, 24 red helmets, and 25 white helmets in a warehouse. If Alex takes away 5 blue helmets, and Ben takes away 8 blue helmets and three times as many red helmets as the number of blue helmets he removed, how many helmets remain in the warehouse?

Step 1: Calculate the total number of helmets initially in the warehouse. Total helmets = blue helmets + red helmets + white helmets Total helmets = 30 + 24 + 25 Total helmets = 79 Step 2: Calculate the number of blue helmets taken away by Alex. Blue helmets taken away by Alex = 5 Step 3: Calculate the number of blue helmets taken away by Ben. Blue helmets taken away by Ben = 8 Step 4: Calculate the number of red helmets taken away by Ben. Since Ben takes away three times as many red helmets as the number of blue helmets he removed, Red helmets taken away by Ben = 3 * 8 Red helmets taken away by Ben = 24 Step 5: Calculate the total number of helmets taken away. Total helmets taken away = blue helmets taken away by Alex + blue helmets taken away by Ben + red helmets taken away by Ben Total helmets taken away = 5 + 8 + 24 Total helmets taken away = 37 Step 6: Calculate the number of helmets remaining in the warehouse. Helmets remaining = Total helmets - Total helmets taken away Helmets remaining = 79 - 37 Helmets remaining = 42

42

It takes Roque two hours to walk to work and one hour to ride his bike to work. Roque walks to and from work three times a week and rides his bike to and from work twice a week. How many hours in total does he take to get to and from work a week with walking and biking?

Maria is a student who commutes to school. She takes 3 hours to walk to school and 2 hours to ride her bike to school. If she walks to and from school 2 times a week and rides her bike to and from school 3 times a week, how many hours in total does she take to get to and from school a week with walking and biking?

Let's break down the problem into two parts: walking and biking. **Walking:** Maria walks to and from school 2 times a week. Since she walks to school and back home, the total number of walking trips per week is 2 x 2 = 4 trips. The time taken for each walking trip is 3 hours. So, the total time taken for walking per week is 4 trips x 3 hours/trip = 12 hours. **Biking:** Maria rides her bike to and from school 3 times a week. Since she rides her bike to school and back home, the total number of biking trips per week is 3 x 2 = 6 trips. The time taken for each biking trip is 2 hours. So, the total time taken for biking per week is 6 trips x 2 hours/trip = 12 hours. **Total Time:** To find the total time Maria takes to get to and from school per week, we add the time taken for walking and biking: Total Time = Time Walking + Time Biking = 12 hours + 12 hours = 24 hours

24

Tim rides his bike back and forth to work for each of his 5 workdays. His work is 20 miles away. He also goes for a weekend bike ride of 200 miles. If he can bike at 25 mph how much time does he spend biking a week?

Emily walks to school and back home every day for 5 days a week. The distance between her home and school is 15 miles. Additionally, she goes for a 150-mile hike every weekend. If she walks at a constant speed of 20 miles per hour, how many hours does she spend walking per week?

To solve this problem, we need to calculate the total distance Emily walks per week and then divide it by her constant speed to find the total hours she spends walking per week. Step 1: Calculate the total distance Emily walks to school and back home per week: Distance between home and school = 15 miles Since she walks to school and back home, the total distance per day = 2 x 15 miles = 30 miles She walks 5 days a week, so the total distance per week = 30 miles/day x 5 days/week = 150 miles/week Step 2: Calculate the total distance Emily hikes per week: Distance of the hike = 150 miles Since she hikes every weekend, the total distance per week = 150 miles/week Step 3: Calculate the total distance Emily walks per week: Total distance per week = distance walked to school and back home per week + distance hiked per week Total distance per week = 150 miles/week + 150 miles/week = 300 miles/week Step 4: Calculate the total hours Emily spends walking per week: Speed = 20 miles/hour Time = Total distance per week / Speed Time = 300 miles/week / 20 miles/hour = 15 hours/week

15

Bella bought stamps at the post office. Some of the stamps had a snowflake design, some had a truck design, and some had a rose design. Bella bought 11 snowflake stamps. She bought 9 more truck stamps than snowflake stamps, and 13 fewer rose stamps than truck stamps. How many stamps did Bella buy in all?

Tommy bought stickers at a stationery store. He bought 15 cartoon character stickers, 7 more sports stickers than cartoon character stickers, and 10 fewer music stickers than sports stickers. How many stickers did Tommy buy in total?

Let's break down the information given in the question: 1. Tommy bought 15 cartoon character stickers. 2. He bought 7 more sports stickers than cartoon character stickers, so he bought 15 + 7 = 22 sports stickers. 3. He bought 10 fewer music stickers than sports stickers, so he bought 22 - 10 = 12 music stickers. To find the total number of stickers Tommy bought, we need to add the number of cartoon character stickers, sports stickers, and music stickers. Total number of stickers = Number of cartoon character stickers + Number of sports stickers + Number of music stickers = 15 + 22 + 12 = 49 Therefore, Tommy bought a total of 49 stickers.

49

Each bird eats 12 beetles per day, each snake eats 3 birds per day, and each jaguar eats 5 snakes per day. If there are 6 jaguars in a forest, how many beetles are eaten each day?

In a forest, each monkey eats 15 bananas per day. Each tiger eats 2 monkeys per day. Each elephant eats 3 tigers per day. If there are 4 elephants in the forest, how many bananas are eaten each day?

To solve this problem, we will break it down into steps. ## Step 1: Calculate the total number of tigers eaten per day by the elephants. First, we determine how many tigers are eaten by the elephants each day. Since each elephant eats 3 tigers per day and there are 4 elephants, the total number of tigers eaten per day is 3 tigers/elephant * 4 elephants = 12 tigers. ## Step 2: Calculate the total number of monkeys eaten per day by the tigers. Before being eaten, these 12 tigers would each eat 2 monkeys per day. So, the total number of monkeys eaten per day by the tigers is 2 monkeys/tiger * 12 tigers = 24 monkeys. ## Step 3: Calculate the total number of bananas eaten per day by the monkeys. Each monkey eats 15 bananas per day. Therefore, the total number of bananas eaten per day by the 24 monkeys is 15 bananas/monkey * 24 monkeys = 360 bananas. The final answer is: $\boxed{360}$

360

Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?

Ashley's username has 5 fewer characters than Emily's username. If Emily shortened her username by 3 characters, it would be twice the length of David's username, which has 6 characters. How many characters are in Ashley's username?

Step 1: First, we need to establish the relationship between the lengths of Ashley's, Emily's, and David's usernames based on the given information. Step 2: Let's denote the number of characters in Emily's username as E, in Ashley's username as A, and in David's username as D. Step 3: We are told that Ashley's username has 5 fewer characters than Emily's. Therefore, we can express this relationship as A = E - 5. Step 4: We also know that David's username has 6 characters, so D = 6. Step 5: Additionally, we are informed that if Emily shortened her username by 3 characters, it would be twice the length of David's username. This can be written as (E - 3) = 2D. Step 6: Since we know D = 6, we can substitute this value into the equation from step 5 to find the length of Emily's username. Therefore, (E - 3) = 2 * 6, which simplifies to E - 3 = 12. Step 7: Solving for E, we add 3 to both sides of the equation, yielding E = 15. This tells us that Emily's username has 15 characters. Step 8: Now that we know Emily's username length, we can find Ashley's by using the relationship established in step 3 (A = E - 5). Substituting the value of E, we get A = 15 - 5. Step 9: Calculating the value for A, we find A = 10. Step 10: Therefore, Ashley's username has 10 characters.

10

Ann's favorite store was having a summer clearance. For $75 she bought 5 pairs of shorts for $7 each and 2 pairs of shoes for $10 each. She also bought 4 tops, all at the same price. How much did each top cost?

Tom spent $120 at a department store. He bought 3 shirts for $12 each and 2 pairs of pants for $20 each. He also bought 5 accessories, all at the same price. What was the price of each accessory?

To find the price of each accessory, we need to first calculate the total cost of the shirts and pants Tom bought. 1. Calculate the total cost of the shirts: 3 shirts x $12/shirt = $36 2. Calculate the total cost of the pants: 2 pairs of pants x $20/pair = $40 3. Calculate the total cost of the shirts and pants: $36 (shirts) + $40 (pants) = $76 4. Subtract the total cost of the shirts and pants from the total amount Tom spent: $120 (total spent) - $76 (shirts and pants) = $44 5. Since Tom bought 5 accessories, divide the remaining amount by 5 to find the price of each accessory: $44 ÷ 5 accessories = $8.80 per accessory

8.80

Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?

Tom spent his full $150 credit limit at a clothing store and has since made payments of $25 and $30. How much does he still owe before his next shopping trip?

To find out how much Tom still owes, we need to subtract the payments he has made from the total amount he owed initially. Step 1: Determine the initial amount owed. Tom spent his full $150 credit limit. Step 2: Calculate the total payments made. Payment 1: $25 Payment 2: $30 Total payments = Payment 1 + Payment 2 = $25 + $30 = $55 Step 3: Subtract the total payments from the initial amount owed to find the current amount owed. Current amount owed = Initial amount owed - Total payments Current amount owed = $150 - $55 Current amount owed = $95 Therefore, Tom still owes $95 before his next shopping trip.

95

Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?

A golf ball dispenser is loaded with 225 balls for a practice session. The golfer hits 3/5 of the first 120 balls released and 2/5 of the next 105 balls. How many golf balls does the golfer miss in total?

To find the total number of golf balls the golfer misses, we need to calculate the number of balls missed in the first 120 balls and the next 105 balls separately, then add them together. 1. For the first 120 balls: - The golfer hits 3/5 of the first 120 balls. - To find the number of balls hit, we multiply 120 by 3/5. - Balls hit in the first 120 = 120 * 3/5 = 72. - Therefore, the number of balls missed in the first 120 balls is 120 - 72 = 48. 2. For the next 105 balls: - The golfer hits 2/5 of the next 105 balls. - To find the number of balls hit, we multiply 105 by 2/5. - Balls hit in the next 105 = 105 * 2/5 = 42. - Therefore, the number of balls missed in the next 105 balls is 105 - 42 = 63. 3. To find the total number of balls missed, we add the number of balls missed in the first 120 balls to the number missed in the next 105 balls. - Total balls missed = Balls missed in first 120 + Balls missed in next 105 = 48 + 63 = 111.

111

Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?

A saltworks factory uses a brine solution that is 25% salt. If they process 5 liters of this solution, how many milliliters of salt will they produce?

To find the amount of salt produced, we need to calculate 25% of the total volume of the brine solution. Step 1: Convert the volume from liters to milliliters. Since 1 liter is equal to 1000 milliliters, we can convert 5 liters to milliliters by multiplying 5 by 1000. 5 liters * 1000 ml/liter = 5000 ml Step 2: Calculate 25% of the total volume in milliliters. To find 25% of a number, multiply the number by 0.25. 25% of 5000 ml = 0.25 * 5000 ml = 1250 ml Therefore, the saltworks factory will produce 1250 milliliters of salt.

1250

Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?

Ashley was working on a project and needed to download images from the internet. She initially downloaded 600 images but then deleted 60% of them as they were not suitable. She then downloaded an additional 300 images, only to find that 2/3 of these new images were also not relevant. How many useful images does Ashley have left after removing the unsuitable ones from the second download?

Step 1: Calculate the number of images Ashley deleted from the initial download. Ashley initially downloaded 600 images and deleted 60% of them. 60% of 600 = 0.6 * 600 = 360 images deleted. Step 2: Calculate the number of images Ashley has left after the first deletion. 600 - 360 = 240 images left. Step 3: Calculate the number of new images Ashley downloaded. Ashley downloaded an additional 300 images. Step 4: Calculate the number of new images that are not relevant. 2/3 of the new images are not relevant. 2/3 * 300 = 200 images not relevant. Step 5: Calculate the number of new images that are relevant. 300 - 200 = 100 images relevant. Step 6: Calculate the total number of useful images Ashley has left. Add the number of images left after the first deletion to the number of new relevant images. 240 + 100 = 340 images.

340

There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?

A neighborhood has 7 houses, and each of the first 6 houses has 2 garden statues. If there are a total of 15 statues in the neighborhood, how many statues does the 7th house have?

To find out how many statues the 7th house has, we first need to determine the total number of statues in the first 6 houses. Each of the first 6 houses has 2 garden statues. Step 1: Calculate the total number of statues in the first 6 houses. Total statues in first 6 houses = 6 houses * 2 statues/house = 12 statues. Step 2: Now, subtract the total number of statues in the first 6 houses from the total number of statues in the neighborhood to find out how many statues the 7th house has. Statues in the 7th house = Total statues in the neighborhood - Total statues in the first 6 houses. Step 3: Plug in the numbers and calculate. Statues in the 7th house = 15 statues (total in the neighborhood) - 12 statues (in the first 6 houses) = 3 statues. Therefore, the 7th house has 3 statues.

3

Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?

Tom used to spend 30% of his monthly income on transportation. After a salary increase of $800, his transportation expenses now account for only 20% of his monthly income. What was Tom's previous monthly income?

Step 1: To solve this problem, we first need to understand the relationship between Tom's monthly income and his transportation expenses before and after the salary increase. Step 2: Let's denote Tom's previous monthly income as "x". Step 3: Before the salary increase, Tom spent 30% of his income on transportation. This means his transportation expenses were 0.30x. Step 4: After the salary increase of $800, Tom's new monthly income becomes x + $800. Step 5: It is stated that after the salary increase, his transportation expenses now account for only 20% of his new monthly income. This can be represented as 0.20(x + $800). Step 6: Since the actual amount spent on transportation does not change, we can set up an equation to equate the transportation expenses before and after the salary increase: 0.30x = 0.20(x + $800). Step 7: Solving this equation will allow us to find the value of x, which represents Tom's previous monthly income. Step 8: Start by distributing the 0.20 in the equation: 0.30x = 0.20x + $160. Step 9: Next, subtract 0.20x from both sides to isolate x on one side: 0.10x = $160. Step 10: Finally, divide both sides by 0.10 to solve for x: x = $160 / 0.10 = $1600. Step 11: Therefore, Tom's previous monthly income was $1600.

$1600