Q: You can lower the price by 20% if you buy more than fifteen units of iPhone cases. If you pay $500 to buy 18 units, what is the original price?
A: If you buy 18 units, the percentage of the total price drops to 100% - 20% = 80%. If 80% is equal to $500, then 100% is equals 100% / 80% * $500 = $625. The answer is 625.
Question: Jenny collects cans and bottles to take down to the recycling center. Each bottle weighs 6 ounces and each can weighs 2 ounces. Jenny can carry a total of 100 ounces. She collects 20 cans and as many bottles as she can carry. If she gets paid 10 cents per bottle and 3 cents per can, how much money does she make (in cents)?
Answer: First, the weight of 20 cans is 20 cans * 2 oz per can = 40 oz. Thus, Jenny has the capacity to carry 100 oz - 40 oz = 60 oz of bottles. Jenny can carry 60 oz / 6 oz per bottle = 10 bottles. Jenny earns 10 bottles * 10 cents per bottle = 100 cents for the bottles. Jenny earns 20 cans * 3 cents per can = 60 cents for the cans. In total, she earns 100 cents + 60 cents = 160 cents. The answer is 160.
[Question]The ratio of coins that Elsa has to that which Amalie has is 10:45. If the total number of coins they have is 440, and Amalie spends 3/4 of what she has on toys, how many will she remain with?
[Answer]The total ratio of the coins they both have is 10 + 45 = 55. The fraction of the ratio representing the number of coins that Amalie has is 45 / 55, and since the total number of coins they both have is 440, Amalie has 45 / 55 * 440 = 360 coins. When Amalie spends 3 / 4 of what she has, she parts with 3 / 4 * 360 = 270 coins. She still has 360 coins - 270 coins = 90 coins. The answer is 90.
Q: Justin wanted to watch a movie that came on at 8 pm that night. His parents agreed as long as he finished his homework and chores before the movie started. He wouldn't be home until 5 pm because of baseball practice. He knew dinner would take 45 minutes, and he figured his homework would take 30 minutes to finish. He needed to clean his room, which would take 30 minutes; then take out the trash, which would take about 5 minutes; and empty the dishwasher, which would take another 10 minutes. What was the latest time that Justin could start his chores and homework to be done by 8 pm to watch his movie?
A: Justin would spend 45 minutes at dinner, 30 minutes doing homework, 30 minutes cleaning his room, 5 minutes on the trash and 10 on dishes for a total of 45 + 30 + 30 + 5 + 10 = 120. Justin knows that 60min is the same as 1 hour. He has 120 minutes of work so 120 / 60 = 2 hours. His movie comes on at 8 pm and he has 2 hours of chores so 8 - 2 = 6 pm is the latest time he could start his chores. The answer is 6.
Question: On a four-day trip, Carrie drove 135 miles the first day, 124 miles more the second day, 159 miles the third day, and 189 miles the fourth day. If she had to charge her phone every 106 miles, how many times did she charge her phone for the whole trip?
Answer: Carrie drove 135 + 124 = 259 miles on the second day. Carrie drove 135 + 259 + 159 + 189 = 742 miles for the whole trip. Carries charged her phone 742 / 106 = 7 times. The answer is 7.
Q: The cost of purchasing two commodities is $827. If the purchase price of the first one exceeds the other by $127, what is the purchase price of the first commodity?
A:
Let X be the price of the first commodity, so the price of the second commodity is X - $127. The cost of purchasing two of them is X + (X - $127) = $827. Combining like terms, we get X * 2 - $127 = $827. Subtracting $137 from both sides, we get X * 2 = $954. Dividing both sides by 2, we get X = $477. The answer is 477.