Question: There are 20 students in the orchestra and twice that number in the band. There are 12 boys and 16 girls in the choir. If each student only participates in one group, how many students, in total, are there in the orchestra, the band, and the choir?
Answer: There are 20 x 2 = 40 students in the band. There are 12 + 16 = 28 students in the choir. In total there are 20 + 40 + 28 = 88 students. The answer is 88.
[Question]A cat spends its time hunting birds. The cat catches 8 birds during the day and twice this many at night. In total, how many birds did the cat catch?
[Answer]At night, the cat catches 8 birds * 2 = 16 birds. Combined with the birds caught during the day, the cat caught a total of 8 birds + 16 birds = 24 birds. The answer is 24.
Q: Louie sells Dodge, Hyundai, and Kia vehicles, and his company has 400 vehicles for sale on the store's parking lot. Half of the vehicles on the lot are Dodge, and there are half as many Hyundai vehicles on the lot as there are Dodge vehicles. How many Kia vehicles are on the lot?
A: Half of the 400 vehicles for sale on the lot are Dodges, or a total of 400 / 2 = 200 Dodge vehicles. Since there are half as many Hyundai vehicles on the lot as there are Dodge vehicles, then there are 200 / 2 = 100 Hyundai vehicles on the lot. Since the remainder of the vehicles are Kias, then there are 400 - 200 - 100 = 100 Kia vehicles for sale on the lot. The answer is 100.
Question: Tyler has $100. If he buys 8 scissors for $5 each and 10 erasers for $4 each, how much of his money remains?
Answer: 8 * $5 = $40 is the price of 8 scissors. 10 * $4 = $40 is the price of 10 erasers. You can find the total price by adding the cost of the scissors and erasers: $40 + $40 = $80. $100 - $80 = $20 is the remaining amount of his money. The answer is 20.
[Question]Christine and Janice are having a contest to see who can throw a ball the highest. They each get three throws. On her first throw, Christine throws it 20 feet high. Janice's throw is 4 feet lower than Christine's. On their second throw, Christine throws it ten feet higher than her first throw and Janice throws it twice as high as her first throw. On the final throw, Christine throws it 4 feet higher than her 2nd throw while Janice throws it 17 feet higher than Christine's first throw. What is the height of the highest throw?
[Answer]We know Christine's second throw was 30 feet high because 20 + 10 = 30. We know Christine's third throw was 34 feet because 30 + 4 = 34. Janice's first throw was 16 feet because 20 - 4 = 16. Janice's second throw was 32 feet because 16 * 2 = 32. Janice's final throw was 37 feet high because 20 + 17 = 37. The six throws were 20 feet, 30 feet, 34 feet, 16 feet, 32 feet, and 37 feet, and of these numbers, 37 feet was the highest. The answer is 37.
[Question]There are 28 students in a classroom. Half of them have 5 notebooks each and the other half have 3 notebooks each. How many notebooks in total are in the classroom?
[Answer]
Half of the class consists of 28 students / 2 = 14 students. One half of the students have 14 students * 3 notebooks / student = 42 notebooks. The other half have 14 students * 5 notebooks / student = 70 notebooks. There are 42 notebooks + 70 notebooks = 112 notebooks in total in the classroom. The answer is 112.