[Question]Annie does a survey of the sixth-grade classes to see who prefers pretzels to goldfish. In Miss Johnson's class, 1/6 of the students preferred goldfish. In Mr. Feldstein's class, 2/3rds of the students preferred goldfish. In Ms. Henderson's class, 1/5 of the students prefer goldfish. If each class has 30 students, how many people total prefer goldfish?
[Answer]First find the number of students in Mr. Feldstein's class who prefer goldfish: 2 / 3 * 30 students = 20 students. Then find the number of students in Mr. Feldstein's class who prefer goldfish: 1 / 6 * 30 students = 5 students. Then find the number of students in Ms. Henderson's class who prefer goldfish: 1 / 5 * 30 students = 6 students. Then add the number of students from each class who prefer goldfish to find the total: 20 students + 5 students + 6 students = 31 students. The answer is 31.
Q: Dane’s two daughters need to plant 5 flowers each to grow a garden. As the days passed, the flowers grew into 20 more but 10 of them died. Dane’s daughters harvested the flowers and split them between 5 different baskets. How many flowers ended up in each basket?
A: Two daughters planted 5 * 2 = 10 flowers. The flowers grew into 10 + 20 = 30 total. 30 - 10 = 20 flowers were left after 10 died. The daughters put 20 / 5 = 4 flowers in each basket. The answer is 4.
Question: Niles is collecting his book club's annual fees. Each of the six members pays $150/year towards snacks, plus $30 each for six hardcover books and $12 each for six paperback books. How much money does Niles collect in total?
Answer: First find the cost per member of the hardcover books: $30 / book * 6 books = $180. Then find the cost per member of the paperback books: $12 / book * 6 books = $72. Then find the total cost per member: $180 + $72 + $150 = $402 / member. Now find the total amount of money by multiplying the cost per member by the number of members: $402 / member * 6 members = $2412. The answer is 2412.
[Question]Beth went shopping. She bought 15 more cans of peas than twice the number of cans of corn that she bought. If she bought 35 cans of peas, how many cans of corn did she buy?
[Answer]Let the number of cans of corn she bought be a. Twice the number of corn cans is 2 * a = 2a. The 35 cans of peas were 15 more than twice the number of corn cans which means 15 + 2a = 35. Solving the equation: 2a = 20. a = 20 / 2 = 10 cans of corn. The answer is 10.
Q: Andy can get 50 demerits in a month before getting fired. If he got 2 demerits per instance for showing up late 6 times and 15 demerits for making an inappropriate joke, how many more demerits can he get this month before getting fired?
A: First find how many demerits Andy got for showing up late: 2 demerits / time * 6 times = 12 demerits. Then subtract the number of demerits he's gotten so far to find how many more he can get before getting fired: 50 demerits - 12 demerits - 15 demerits = 23 demerits. The answer is 23.
Question: A banana tree has 100 bananas left after Raj cut some bananas from it. If Raj has eaten 70 bananas and has twice as many remaining in his basket, how many bananas were on the tree initially?
Answer:
If Raj has eaten 70 bananas in the basket, he has 2 * 70 = 140 bananas. The total number of bananas that Raj cut from the tree is 140 + 70 = 210. On the tree initially were 100 + 210 = 310 bananas. The answer is 310.