[Question]Florida is starting a promotion where every car that arrives gets one orange per passenger. A family of 4 arrives and gets their oranges. They had planned to stop for a snack later where they would spend $15 in total, but now that they have the oranges they don't have to buy them at the stop. When they get to the stop they see that the oranges would've cost $1.5 each. What percentage of the money they planned to spend did they save instead?
[Answer]The oranges would've cost $6 because 4 x 1.5 = 6. The proportion of their original spending plan was .4 because 6 / 15 = .4. They saved 40% of the money they planned to spend because .4 x 100 = 40. The answer is 40.
Q: Jason is counting the number of cars that drive by his window. He counted four times as many green cars as red cars, and 6 more red cars than purple cars. If he counted 312 cars total, how many of them were purple?
A: Let g be the number of green cars, r be the number of red cars, and p be the number of purple cars. We know that g + r + p = 315, r = p + 6, and g = 4r. Substitute the second equation into the third equation to get: g = 4r = 4(p + 6) = 4p + 24. Now substitute the equations that express g and r in terms of p in the equation for the total number of cars: 4p + 24 + p + 6 + p = 315. Now combine like terms to get 6p + 30 = 312. Now subtract 30 from both sides to get 6p = 282. Now divide both sides by 6 to get p = 47. The answer is 47.
Question: Dave bought 3 packs of white T-shirts and 2 packs of blue T-shirts for his basketball team. The white T-shirts come in packs of 6, and the blue T-shirts come in packs of 4. How many T-shirts did Dave buy in all?
Answer: Dave bought 3 packs of white shirts * 6 = 18 white shirts. Dave bought 2 packs of blue shirts * 4 = 8 blue shirts. Dave bought a total of 18 + 8 shirts = 26 shirts. The answer is 26.
[Question]Jennifer will be 30 years old in ten years. At that time, her sister Jordana will be three times as old Jennifer. How old is Jennifer's sister now?
[Answer]When Jennifer is 30 years old in ten years, her sister Jordana will be 3 * 30 = 90 years old. She's currently 10 years younger, so she's 90 - 10 = 80 years old. The answer is 80.
Q: John adopts a dog from a shelter. The dog ends up having health problems and this requires 3 vet appointments, which cost $400 each. After the first appointment, John paid $100 for pet insurance that covers 80% of the subsequent visits. How much did he pay in total?
A: He got a discount of 400 * .8 = $320. He got that discount for 3 - 1 = 2 visits. So each of those visits cost 400 - 320 = $80. So he paid 2 * 80 = $160 for those visits. That means he paid a total of 400 + 160 + 100 = $660. The answer is 660.
Question: Andrew works in a company that provides a generous vacation allotment: for every 10 days worked, you get 1 vacation day. If last year Andrew worked 300 days and took 5 days off in March and twice as many in September, how many more vacation days can Andrew still take?
Answer:
If for every 10 days worked Andrew earns 1 day of vacation, then over 300 days worked he would have earned 300 / 10 = 30 days of vacation. We know he took 5 days off in March and that in September twice as much. That means in September he took 5 * 2 = 10 days off. In total, Andrew has used 5 vacation days in March and another 10 in September. Therefore, he has used 5 + 10 = 15 vacation days. If Andrew earned 30 days of vacation but has only used 15, then he can still take another 30 - 15 = 15 days off. The answer is 15.