500 students voted because 2000 x .25 = 500. The loser got 45% of the votes because 100 - 55 = 45. The winner got 275 votes because 500 x .55 = 275. The loser got 225 votes because 500 x .45 = 225. The winner got 50 more votes because 275 - 225 = 50.
The answer: 50
Reverse engineering the question: In the last student council election, the winner got 55% of the votes and the loser got the rest. If the school has 2000 students, but only 25% of them voted, how many more votes did the winner get than the loser?
Reasoning and answer: Emmy and Gerry have a total of $200 + $100 = $300. Therefore, Emmy and Gerry can buy $300 / $2 = 150 apples altogether.
The answer: 150
What was the question?
Question: A fruit stand is selling apples for $2 each. Emmy has $200 while Gerry has $100. If they want to buy apples, how many apples can Emmy and Gerry buy altogether?
When Samantha paid $300 in 30 equal monthly installments, she paid a total of $9000. Since the higher purchase is a deposit plus the total monthly installments, Samatha paid $3000 + $9000 = $12000 for the refrigerator on higher purchase. If she would have bought the refrigerator on the cash prize, Samantha would have paid $12000 - to $8000 = $4000 less.
The answer: 4000
Reverse engineering the question: The cash price of a refrigerator was $8000. Samantha wanted to buy the refrigerator but pay in installments. If she paid a deposit of $3000 and paid 30 equal monthly installments of $300 each, calculate how much money she would have saved by paying cash.
Reasoning and answer: In the first 6 days, he got 6 * 100 = 600 visits. So on the 7th day, he got 600 * 2 = 1200 visitors. So he got a total of 1200 + 600 = 1800 visitors. That means he made 1800 * .01 = $18.
The answer: 18
What was the question?
Question: Tim's website got 100 visitors a day for the first 6 days and then on the last day of the week it got twice as many visitors as every other day combined. If he gets $.01 per visit how much did he make that week?
First find the additional number of claims John can handle: 30% * 20 claims = 6 claims. Then add that amount to Jan's number of claims to find John's number of claims: 20 claims + 6 claims = 26 claims. Then add the 15 additional claims Missy can handle to find her number: 26 claims + 15 claims = 41 claims.
The answer: 41
Reverse engineering the question: Carla is dividing up insurance claims among 3 agents. Missy can handle 15 more claims than John, who can handle 30% more claims than Jan. If Jan can handle 20 claims, how many claims can Missy handle?
He gets 3 * $400 = $1200 per month. So he gets 1200 * 12 = $14,400 per year. So he pays 12 * 900 = $10800 a year. That means his profit is 14400 - 10800 = $3600 per year.
The answer: 3600
Reverse engineering the question:
John sublets his apartment to 3 people who each pay $400 per month. He rents the apartment for $900 a month. How much profit does he make in a year?