Q: Carter plays soccer on the school team. On average, he scores 4 goals per game. Shelby scores half as many as Carter per game on average. And Judah, on average, scores three less than twice as many goals per game as Shelby. If these three teammates are the only ones that score goals for the school team, what is the average total number of goals scored by the team per game?
A: On average, Shelby scores half as many as Carter per game for an average of 4 / 2 = 2 goals per game. Judah, on average, scores three less than twice as many goals per game as Shelby, for a total of (2 * 2) - 3 = 1 goal per game. Therefore, the average total number of goals scored by the team per game is 4 + 2 + 1 = 7 goals per game. The answer is 7.
Question: Jamie knows that once she has any more than 32 ounces of liquid she has to use the bathroom, and her teacher said that no one can use the bathroom during the math test. She remembers that she had a cup of milk at lunch and a pint of grape juice at recess. How many ounces can she drink from her water bottle during the test before she'd have to go to the bathroom? (A cup equals 8 ounces and a pint equals 16 ounces.)
Answer: Jamie has had 24 ounces because 8 plus 16 equals 24. She can drink 8 ounces because 32 - 24 equals 8. The answer is 8.
[Question]Four days ago, Carlos bought a bag of gummy worms. Every day he ate half of the remaining gummy worms. After eating half of the remainder on the fourth day, he now has 4 gummy worms left. How many gummy worms were in the bag when Carlos bought it?
[Answer]Let G be the number of gummy worms in the bag when Carlos bought it. On the first day, he ate half the gummy worms, so he had G / 2 gummy worms. On the second day, he ate half of the remaining gummy worms, so he had G / 2 / 2 = G / 4 gummy worms. On the third day, he ate another half, so he had G / 4 / 2 = G / 8 gummy worms. On the fourth day, he ate another half and had 4 left, so he had G / 8 / 2 = G / 16 = 4 gummy worms. Thus, there were G = 4 * 16 = 64 gummy worms in the bag when Carlos bought it. The answer is 64.
Q: Jeff has 16 GB of storage on his phone. He is already using 4 GB. If a song takes up about 30MB of storage, how many songs can Jeff store on his phone? (There are 1000 MB in a GB).
A: Jeff has 16 - 4 = 12GB left over on his phone. Therefore, he has 12 * 1000 = 12,000MB. Therefore, he can store 12,000 / 30 = 400 songs. The answer is 400.
Question: Mark deposited $88 in a bank. Bryan deposited $40 less than five times as much as Mark. How much did Mark deposit in the bank?
Answer: Five times the amount Mark deposited is $88 x 5 = $440. So, Mark deposited $440 - $40 = $400. The answer is 400.
Q: At a station, a train comes every 5 minutes leaving 200 passengers and taking 320 others. How many different passengers step on and off a train at the station within an hour?
A:
At every passenger exchange there are 200 + 320 = 520 different people. One hour is 60 minutes, so during one hour, a train comes 60 minutes / hour / 5 minutes / train = 12 times. So during one hour, 12 trains * 520 passengers / train = 6240 different passengers step on and off the train. The answer is 6240.