[Question]Barry wants to make a huge salad using only cucumbers and tomatoes. He will use a total of 280 pieces of vegetables. If there are thrice as many tomatoes as cucumbers, how many cucumbers will be used in the salad?
[Answer]Let c be the number of cucumbers and t the number of tomatoes. The total is the sum of the number of cucumbers and that of tomatoes, which is c + t = 280 piece of vegetables. Since there are thrice as many tomatoes as cucumbers, this means c = t / 3. Therefore 3 * c = t. The sum will therefore be c + 3 * c = 280 pieces of vegetables. This means that 4 * c = 280 vegetables. Therefore c = 280 / 4 = 70 cucumbers. The answer is 70.
Q: Olivia pays 4 quarters for chips and 12 quarters for soda. How many dollars does she pay in total?
A: 4 quarters equals to 4 / 4 = $1. 12 quarters equals to 12 / 4 = $3. She pays 1 + 3 = $4 in total. The answer is 4.
Question: Six kids and two adults are going to the circus. Kid's tickets are on sale for only half of the adult tickets. The total cost is $50. How much is one kid's ticket?
Answer: Let X be the price of one kid's ticket. So the price of one adult ticket is X * 2. Five kids and two adults are going to the circus, so 6 * X + 2 * (X * 2) = $50. So 10X = $50. So the price of one kid's ticket is X = $5. The answer is 5.
[Question]Hannah bought 3 sweatshirts and 2 T-shirts. Each sweatshirt cost 15$ and each t-shirt cost 10$. How much money did Hannah spend in all?
[Answer]3 sweatshirts cost 3 x 15 = 45$. 2 t - shirts cost 2 x 10 = 20 $. In total Hannah spent 45 + 20 = 65$. The answer is 65.
Q: If Billy sleeps 6 hours one night, then 2 more hours than that the following night, and then half the previous amount the following night, and then finally triple the previous amount the final night, how much did he sleep in that four day period?
A: Billy slept 6 hours the first night. He then slept 6 + 2 = 8 hours the second night. Billy then slept 8 / 2 = 4 hours the third night. Finally, Billy slept 4 * 3 = 12 hours the fourth night. In total, Billy slept 6 + 8 + 4 + 12 = 30 hours. The answer is 30.
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:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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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.