[Question]Viggo spent $80 on a shirt. He paid the shirt using $20 and $10 bills. If she gave the clerk one more $20 bill than $10 bills, how many $10 bills did he give?
[Answer]Let x be the number of $10 bills. So, there are (x + 1) $20 bills. Adding the $10 and $20 bills should sum up to $80 so the equation is 10x + 20(x + 1) = 80. Then, distribute 20 to x + 1 so it becomes 10x + 20x + 20 = 80. Combining the like terms on the left side gives 30x + 20 = 80. Then transfer 20 to the right side of the equation, so it becomes 30x = 60. To solve for x, we have 60 / 30 = 2. Therefore, there are 2 $10 bills. The answer is 2.
Q: Hillary always buys the Wednesday, Thursday and Friday editions of the local newspaper for $0.50 each. On Sunday, she spends $2.00 to get that copy. How much does she spend on the newspaper over 8 weeks?
A: She buys Wednesday, Thursday and Friday's paper for $0.50 each so that's 3 * .50 = $1.50. She spends $1.50 for the weekday papers and $2.00 for the Sunday paper for a total of 1.5 + 2 = $3.50 a week. Over 8 weeks she spends 8 * 3.5 = $28.00. The answer is 28.
Question: Celia runs twice as fast as Lexie. If it takes Lexie 20 minutes to run a mile, how long, in minutes, will it take Celia to 30 miles?
Answer: If Lexie takes 20 minutes to run a mile, Celia takes 20 / 2 = 10 minutes to run the same distance since she is twice as fast. Celia takes 10 minutes to run one mile so it will take 10 * 30 = 300 minutes to run 30 miles. The answer is 300.
[Question]Whitney bought 9 books about whales and 7 books about fish. She also bought 3 magazines. Each book cost $11 and each magazine cost $1. How much did Whitney spend in all?
[Answer]The total number of books is 9 books + 7 books = 16 books. The cost of the books is $11 / book × 16 books = $176. The cost of the magazines is $1 / magazine × 3 magazines = $3. Whitney spent $3 + $176 = $179 in all. The answer is 179.
Q: Musa is the class teacher of a class of 45 students. He wants to split them into three groups by age. If a third of the class is under 11 years, and two-fifths are above 11 but under 13, how many students will be in the third group (13 years and above)?
A: The first group is a third of the class which is (1 / 3) * 45 = 15 students. There are 15 students in the first group, so there are 45 - 15 = 30 students. The second group is two - fifths of the class which is (2 / 5) * 45 = 18 students. There are 18 in the second group so there are 30 - 18 = 12 students left in the third group. The answer is 12.
Question: Violet is trying to figure out whether she should buy a family pass to the aquarium for $120 or pay for tickets separately. If adult tickets cost $35 and children's tickets cost $20, and Violet's family has 1 adult and 6 children, how much will she pay if she buys separate tickets?
Answer:
First find the total cost of the children's tickets: 6 children * $20 / child = $120. Then add the cost of the adult ticket to find the total cost: $120 + $35 = $155. The answer is 155.