[Question]Ursula bought five hot dogs at $1.50 each and three salads at $2.50 each. If she had two $10 bills, how much change did she get back?
[Answer]Five hotdogs cost 5 x $1.50 = $7.50. Three salads cost 3 x $2.50 = $7.50. The total cost was $7.50 + $7.50 = $15. And, Ursula had 2 x $10 = $20. Therefore, Ursula got a change of $20 - $15 = $5. The answer is 5.
Q: 1/3 of the townspeople have received the full COVID vaccine. 1/3 are immune because they already recovered from COVID. If 1/6 of the townspeople are both vaccinated and already had COVID, what percent of the town is immune in some way?
A: First add the fractions of vaccinated and recovered townspeople: 1 / 3 + 1 / 3 = 2 / 3. Then you need to subtract the fraction that are both vaccinated and recovered, since they were double - counted. To do this, start by converting 2 / 3 to the same denominator as 1 / 6: 2 / 3 * 2 / 2 = 4 / 6. Then subtract 1 / 6 from 4 / 6: 4 / 6 - 1 / 6 = 3 / 6. Then divide the numerator by the denominator and multiply by 100% to express the answer as a percentage: 3 / 6 * 100% = 50%. The answer is 50.
Question: Tim has 22 cans of soda. Jeff comes by, and takes 6 cans of soda from Tim. Tim then goes and buys another half the amount of soda cans he had left. How many cans of soda does Tim have in the end?
Answer: After Jeff comes by, Tim has 22 - 6 = 16 cans left. Tim buys 16 / 2 = 8 more cans. Tim has 16 + 8 = 24 cans in the end. The answer is 24.
[Question]Eight people fit in a row on an airplane, and there are 12 rows. Only 3/4 of the seats in each row are allowed to be seated. How many seats will not be occupied on that plane?
[Answer]There a total of 8 x 12 = 96 seats on that plane. Only 8 x 3 / 4 = 6 seats are allowed to be seated in each row. So, only 6 x 12 = 72 seats are allowed to be seated on the plane. Therefore, 96 - 72 = 24 seats will not be occupied. The answer is 24.
Q: 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?
A: 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.
Question: John takes a 20-foot log and cuts it in half. If each linear foot of the log weighs 150 pounds how much does each cut piece weigh?
Answer:
Each cut piece is 20 / 2 = 10 feet long. So they each weigh 10 * 150 = 1500 pounds. The answer is 1500.