Q: Cori is 3 years old today. In 5 years, she will be one-third the age of her aunt. How old is her aunt today?
A: In 5 years, Cori will be 3 + 5 = 8 years old. In 5 years, Cori’s aunt will be 8 x 3 = 24 years old. Today, her aunt is 24 - 5 = 19 years old. The answer is 19.
Question: Bob runs 6 miles per hour. His friend Jim runs at 9 miles per hour. If Bob has a 1 mile head-start, how many minutes will it take before Jim catches him?
Answer: Bob runs .1 miles per minute because 6 / 60 = .1. Jim run at .15 miles per minute 9 / 60 = .15. We know that .1(Number of Minutes) + 1 = .15(Number of Minutes). Therefore 1 = .05(Number of minutes). Therefore (Number of minutes) = 20 because 1 / .05 = 20. The answer is 20.
[Question]An electronic shop offers smartphones for $300 each, personal computers for $500 more than smartphones, and advanced tablets for the sum of the prices of a smartphone and personal computer. How much do you have to pay to buy one of each of the three mentioned products?
[Answer]The price of a personal computer is $300 + $500 = $800. The price of an advanced tablet would be $300 + $800 = $1100. To buy each of these products, you would have to pay $300 + $800 + $1100 = $2200. The answer is 2200.
Q: Rob has some baseball cards, and a few are doubles. One third of Rob's cards are doubles, and Jess has 5 times as many doubles as Rob. If Jess has 40 doubles baseball cards, how many baseball cards does Rob have?
A: Rob has 40 / 5 = 8 doubles baseball cards. Rob has 8 * 3 = 24 baseball cards. The answer is 24.
Question: Santana has 7 brothers. 3 of them have birthdays in March, 1 of them has a birthday in October, 1 has a birthday in November, and another 2 of them were born in December. If Santana always buys each of her brothers a birthday present and a Christmas present, how many more presents does she have to buy in the second half of the year than the first half of the year?
Answer: Santana has 1 + 1 + 2 = 4 brothers with birthdays in the second half of the year. She has 7 brothers - 4 brothers = 3 brothers with birthdays in the first half of the year. Altogether, she has to buy 4 + 7 = 11 presents in the second half of the year. Therefore, she has to buy 11 - 3 = 8 more presents in the second half of the year. The answer is 8.
Q: For the funfair, the school organizers ordered 30 rolls of tickets. Each roll of tickets has 100 tickets. The 4th graders bought 30% of the tickets while the 5th graders bought 50% of the remaining tickets. Then the 6th graders bought a total of 100 tickets. How many tickets were left unsold?
A:
There were a total of 30 x 100 = 3000 tickets ordered by the school organizers. The 4th graders bought 3000 x 30 / 100 = 900 tickets. So, there were 3000 - 900 = 2100 tickets left for the other two grade levels. The 5th graders bought 2100 x 50 / 100 = 1050 tickets. So, 2100 - 1050 = 1050 tickets were left then. Since 100 tickets were bought by the 6th graders, therefore 1050 - 100 = 950 tickets were left unsold. The answer is 950.