Q: There are enough provisions in a castle to feed 300 people for 90 days. After 30 days, 100 people leave the castle. How many more days are left until all the food runs out?
A: After 30 days, there will be enough food left to sustain 300 people for 90 days 30 days = 60 days. After the 100 people leave, there will be 300 - 100 = 200 people left. The 200 people will eat 200 / 300 = 2 / 3 as much food as the original group of people in the castle. The 60 days' worth of food will last this smaller group for 60 days / (2 / 3) = 90 more days. The answer is 90.
Question: Cody was reading through his favorite book series. The series was 54 books in total. If Cody read 6 books the first week, and 3 books the second week and then 9 books every week after that. How many weeks did it take Cody to read his series?
Answer: Cody needs to read 54 books - 6 books - 3 books = 45 books. Cody read 9 books each week after = 45 books / 9 books per week = 5 weeks. Cody read for 1 week + 1 week + 5 weeks = 7 weeks total. The answer is 7.
[Question]Monica made cookies for herself and her family. Her father ate 10 cookies and her mother ate half as much as the father. Her brother ate 2 more than her mother. How many cookies are left for Monica if she made 30 cookies in total?
[Answer]Monica's mother ate half as many cookies as Monica's father, so she ate 10 cookies / 2 = 5 cookies. Monica's brother ate 5 cookies + 2 cookies = 7 cookies. There were 30 cookies - 7 cookies - 5 cookies - 10 cookies = 8 cookies left for Monica. The answer is 8.
Q: Based on a 2008 study, children 611 years old spend 45 minutes each day watching television. How many hours do these children watch television in 2 weeks if they are allowed to watch television 4 days a week?
A: The children watch a total of 45 x 4 = 180 minutes in a week. In hours, this is equal to 180 / 60 = 3 hours a week. Thus, these children watch 3 x 2 = 6 hours in two weeks. The answer is 6.
Question: Alice has 20 quarters. She wants to exchange them for nickels and so she goes to the bank. After getting back from the bank, she discovers that 20% of the nickels are iron nickels worth $3 each. What is the total value of her money now?
Answer: A quarter is worth five nickels because .25 / .05 = 5. She gets 100 nickels from the bank because 20 x 5 = 100. 20 of the nickels are iron nickels because 100 x .20 = 20. 80 of the nickels are regular because 100 - 20 = 80. The iron nickels are worth $60 because 20 x 3 = 60. The regular nickels are worth $4 because 80 x .05 = 4. Her money is now worth $64 because 60 + 4 = 64. The answer is 64.
Q: 240 sixth-grade students were asked about the number of novels they read per month. 1/6 of students read three or more novels, 35% of students read two novels, 5/12 of students read one novel, and the rest of the students do not read anything. Calculate the number of students who do not read novels.
A:
1 / 6 * 240 students = 40 students. So 40 students read three or more novels. 35 / 100 * 240 students = 84 students. So 84 students read two novels. 5 / 12 * 240 students = 100 students. So 100 students read a novel. 240 students (40 students + 84 students + 100 students) = 240 students 224 students = 16 students. So 16 students don't read novels. The answer is 16.