Q: James decides to buy two suits. The first is an off-the-rack suit which costs $300. The second is a tailored suit that costs three as much plus an extra $200 for tailoring. How much did he pay for both suits?
A: The second suit cost 300 * 3 = $900. After tailoring the second suit cost 900 + 200 = $1100. So the total cost was 1100 + 300 = $1400. The answer is 1400.
Question: There are 28 students in a class. Two-sevenths of them were absent last Monday. How many students were present last Monday?
Answer: 28 x 2 / 7 = 8 students were absent last Monday. So, 28 - 8 = 20 students were present last Monday. The answer is 20.
[Question]If you double a number and add 5 to the result, then that's 20 more than half of the original number. What's the original number?
[Answer]Let x be the original number. 2 * x + 5 = 20 + x / 2. 2 * x - x / 2 = 15. 4 * x - x = 30. 3 * x = 30. x = 10. The answer is 4.
Q: A performing magician has a disappearing act where he makes a random member of his audience disappear and reappear. Unfortunately, one-tenth of the time, the audience member never reappears. However, one-fifth of the time, two people reappear instead of only one. If the magician has put on 100 performances of the act this year, how many people have reappeared?
A: One - tenth of the time, no one reappears, so there have been 100 / 10 = 10 times no one has reappeared. One - fifth of the time, two people reappear, so there have been 100 / 5 = 20 times 2 people have reappeared. In those 20 times, 2 * 20 = 40 people have reappeared in all. Thus, there have been 100 - 10 - 20 = 70 times one person has reappeared. Therefore, over 100 acts, 70 + 40 = 100 people have reappeared in all. The answer is 110.
Question: A supplier is packing cartons of canned juice. Each carton has 20 cans of juice. Out of the 50 cartons that have been packed, only 40 cartons have been loaded on a truck. How many cans of juice are left to be loaded on the truck?
Answer: There are 50 - 40 = 10 cartons of canned juice that are left to be loaded on the truck. This is equal to 10 x 20 = 200 cans of juice. The answer is 200.
Q: Pete walks backwards three times faster than Susan walks forwards, and Tracy does one-handed cartwheels twice as fast as Susan walks forwards. But Pete can walk on his hands only one quarter the speed that Tracy can do cartwheels. If Pete walks on his hands at 2 miles per hour, how fast can Pete walk backwards, in miles per hour?
A:
If Pete walks on hands at 1 / 4 what Tracy can do 1 - handed cartwheels, then Tracy can do 1 - handed cartwheels at 2 * 4 = 8 miles per hour. Since Tracy does 1 - handed cartwheels twice the rate of Susan's forward walking, then Susan walks at 8 / 2 = 4 miles per hour. Pete walks backwards 3x faster than Susan walks forward, and thus Pete walks backwards at 4 * 3 = 12 miles per hour. The answer is 12.