[Question]Iris’ family is planning a surprise birthday party for her. The party will include her 3 uncles and 4 aunts who have a son and daughter each as well as her brother and mother. In total, how many people are coming to Iris’ birthday party?
[Answer]Each of her aunts and uncles have a family unit of 1 son + 1 daughter + 1 aunt / uncle = 3 people. Iris has a total of 3 uncles + 4 aunts = 7 aunts or uncles in these family units. So among her aunts, uncles, and cousins, there will be 7 family units * 3 people in each family unit = 21 people. Including her mother and brother, there will be a total of 21 people + 1 mother + 1 brother = 23 people coming to her party. The answer is 23.
Q: Brianna reads two books a month. This year, she was given six new books as a gift, she bought eight new books, and she plans to borrow two fewer new books than she bought from the library. How many of her old books from her old book collection will she have to reread to have two books to read a month this year?
A: Brianna needs 12 * 2 = 24 books to get her through the year. She will borrow 8 - 2 = 6 new books from the library. With the books she was given, the books she bought, and the library books, she will have 6 + 8 + 6 = 20 new books to read this year. Thus, she will need to reread 24 - 20 = 4 of her old books this year. The answer is 4.
Question: Nancy wants to figure out if she can afford to apply to the University of Michigan. The tuition costs $22,000 per semester. Her parents can pay half the cost, and each semester Nancy can get a scholarship for $3,000 and a student loan for twice her scholarship amount. If Nancy can work a total of 200 hours during the semester, how many dollars does she have to make per hour to pay the rest of the tuition?
Answer: First figure out how much Nancy has to pay after her parents pay their half by dividing the tuition by 2: $22,000 / 2 = $11,000. Then figure out how much Nancy's student loan is by multiplying her scholarship amount by 2: $3,000 * 2 = $6,000. Now subtract the amounts of Nancy's scholarship and loan to find out how much tuition she has to pay by working: $11,000 - $3,000 - $6,000 = $2,000. Now divide the remaining unpaid tuition by the number of hours Nancy works to find out how much she needs to make per hour: $2,000 / 200 hours = $10 / hour. The answer is 10.
[Question]12 archeology students and 4 teachers went on a field trip to a dinosaur museum. Student tickets cost $1 each, and adult tickets cost $3 each. How much did the museum tickets cost in all?
[Answer]The cost of the 12 student tickets is 12 * $1 = $12. The cost of the 4 teacher tickets is 4 * $3 = $12. Adding the cost of the student and teacher tickets, the museum tickets cost $12 + $12 = $24 in total. The answer is 24.
Q: Megan’s grandma gave her $125 to start a savings account. She was able to increase the account by 25% from funds she earned babysitting. Then it decreased by 20% when she bought a new pair of shoes. Her final balance is what percentage of her starting balance?
A: Megan started with $125 and increased it by 25%, so $125 + (0.25)125 or $125 + $31.25 = $156.25. Then the balance decreased by 20%, so $156.25 – (0.20)156.25 or $156.25 - $31.25 = $125. $125 is the balance Megan started with, so her final balance is 100% of the starting balance. The answer is 100.
Question: Brenda weighs 10 pounds more than 3 times Mel's weight. If Brenda weighs 220 pounds, what is Mel's weight?
Answer:
Let Mel's weight be m. Brenda’s weight is 3 * m + 10 = 220 pounds. Thus 3m = 220 - 10 = 210 pounds. Therefore Mel's weight is m = 210 / 3 = 70 pounds. The answer is 70.