Question: There are 90 students who have lunch during period 5. Today, two-thirds of the students sat in the cafeteria, while the remainder sat at the covered picnic tables outside. But some yellow-jackets were attracted to their food, and so one-third of the students outside jumped up and ran inside to the cafeteria, while 3 of the students in the cafeteria went outside to see what all the fuss was about. How many students are now in the cafeteria?
Answer: Originally, there were 90 * 2 / 3 = 60 in the cafeteria. Originally, there were 90 - 60 = 30 outside the cafeteria. Then 30 * 1 / 3 = 10 ran inside. The number of students inside the cafeteria grew by 10 - 3 = 7. There are now 60 + 7 = 67 students in the cafeteria. The answer is 67.
[Question]Abigail thinks she has some lost some money out of her purse. She had $11 in her purse at the start of the day, and she spent $2 in a store. If she now has $3 left, how much money has she lost?
[Answer]After going shopping, Abigail had 11 – 2 = 9 dollars left. This means she lost 9 – 3 = 6 dollars. The answer is 6.
Q: Caroline has 40 pairs of socks. She loses 4 pairs of socks at the laundromat. Of the remaining pairs of socks, she donates two-thirds to the thrift store. Then she purchases 10 new pairs of socks, and she receives 3 new pairs of socks as a gift from her dad. How many pairs of socks does Caroline have in total?
A: After losing some socks, Caroline has 40 - 4 = 36 pairs of socks. Caroline donates 36 * (2 / 3) = 24 pairs of socks to the thrift store. After donating some socks, Caroline has 36 - 24 = 12 pairs of socks remaining. After getting new socks, Caroline has 12 + 10 + 3 = 25 pairs of socks. The answer is 25.
Question: Bush and Matt are brothers. Bush is younger than Matt by 3 years. This year Bush will be 12 years old. What will be Matt's age 10 years from now?
Answer: Bush is younger than Matt by 3 years, so if Bush is 12 years old then Matt is 12 + 3 = 15 years old. In 10 years' time, Matt will be 10 + 15 = 25 years old. The answer is 25.
[Question]There are 480 grains of rice in one cup. If half a cup is 8 tablespoons and one tablespoon is 3 teaspoons, how many grains of rice are in a teaspoon?
[Answer]First find the number of tablespoons in a full cup: 8 tablespoons / half - cup * 2 half - cups / cup = 16 tablespoons. Then find the total number of teaspoons in a cup: 16 tablespoons / cup * 3 teaspoons / tablespoon = 48 teaspoons. Then find the number of grains of rice per teaspoon: 480 grains / 48 teaspoons = 10 grains / teaspoon. The answer is 10.
[Question]If 100 pieces, each 15 centimeters long, are cut from a 51-meter long ribbon, how much ribbon remains ?
[Answer]
The total length cut from the 51 - meter ribbon is 100 x 15 centimeters = 1500 centimeters. Since 1 meter is equal to 100 centimeters, then 1500 centimeters is equal to 1500 / 100 = 15 meters. Therefore, 51 - 15 = 36 meters of ribbon remains. The answer is 36.