Answer the following question.
Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?
Step-by-step reasoning process: Out of the first 100 balls, Ralph was able to hit 2 / 5 of them and not able to hit 3 / 5 of them, 3 / 5 x 100 = 60 tennis balls Ralph didn't hit. Out of the next 75 balls, Ralph was able to hit 1 / 3 of them and not able to hit 2 / 3 of them, 2 / 3 x 75 = 50 tennis balls that Ralph didn't hit. Combined, Ralph was not able to hit 60 + 50 = 110 tennis balls Ralph didn't hit.
The answer is 110.

Answer the following question.
Dorothy sells glass frames at half the price that Jemma sells them. Jemma sells the glass frames at 5 dollars each, selling twice as many frames as Dorothy does. If Jemma sold 400 frames, how much did they make together in total from the sale of the glass frames?
Step-by-step reasoning process: If Jemma sold 400 glasses frames at $5 each, she made 400 * $5 = $2000. Jemma sold twice as many frames as Dorothy, meaning Dorothy sold 400 / 2 = 200 frames. If Dorothy sold her glasses frames at half the price that Jemma sold hers, then it means she sold her glasses frames at $5 / 2 = $2.5 per glasses frame. In total, Dorothy made $2.5 * 200 = $500 from the sale of her glasses frames. Together, they made $2000 + $500 = $2500 from the sale of the glasses frames.
The answer is 2500.

Answer the following question.
3 people run for president. John manages to capture 150 votes. James captures 70% of the remaining vote. If there were 1150 people voting, how many more votes did the third guy get than John?
Step-by-step reasoning process: There were 1150 - 150 = 1000 people who didn't vote for John. That means James got 1000 * .7 = 700 votes. So the other candidate got 1000 - 700 = 300 votes. This means he got 300 - 150 = 150 more votes than John.
The answer is 150.

Answer the following question.
There are 10 rows of 15 chairs set up for the award ceremony. The first row is reserved for the awardees while the second and third rows are for the administrators and teachers. The last two rows are then reserved for the parents and the rest of the rows are for the students. If only 4/5 of the seats reserved for the students are occupied, how many vacant seats from the students can be given to the parents?
Step-by-step reasoning process: There are 1 + 2 + 2 = 5 rows that are not reserved for the students. Hence, 10 - 5 = 5 rows are reserved for the students. That is equal to 5 x 15 = 75 seats. But only 75 x 4 / 5 = 60 seats are occupied by the students. Therefore, 75 - 60 = 15 seats can be given to the parents.
The answer is 15.