[Question]Joshua and Justin shared $40. Joshua's share was thrice as much as Justin's. How much is Joshua's share?
[Answer]The $40 is divided into 1 part for Justin + 3 parts for Joshua = 4 parts. So each part is equal to $40 / 4 = $10. Therefore, Joshua's share is $10 x 3 = $30. The answer is 30.
Q: Annie brought 20 brownies to school. She gave half of them to the school administrator to put in the faculty lounge. Of the remaining brownies, she gave half to her best friend, Carl, and another two to her friend, Simon. How many brownies did she have left?
A: She first gave away half of her 20 brownies, or 20 / 2 = 10 brownies, to the faculty. The remaining brownies number 20 - 10 = 10 brownies. She gave half of these remaining brownies, or 10 / 2 = 5 brownies, to Carl. This reduced her number from 10 down to 10 - 5 = 5 brownies. Finally, she gave away another 2, leaving her with 5 - 2 = 3 brownies. The answer is 3.
Question: Wilson decides to go sledding on some nearby hills. On the 2 tall hills, he sleds down them 4 times each and on the 3 small hills, he sled down them half as often as he sleds down the tall hills. How many times did he sled down the hills?
Answer: On the tall hills, he sleds down 2 tall hills * 4 times per tall hill = 8 times. He sleds down the small hills half as often so he sleds down each hill 4 times per tall hill / 2 = 2 times per small hill. On the small hills, he sleds down 3 small hills * 2 times per small hill = 6 times. So in total, Wilson sled down the hills 8 times on tall hills + 6 times on small hills = 14 times. The answer is 14.
[Question]Jason is counting the number of cars that drive by his window. He counted four times as many green cars as red cars, and 6 more red cars than purple cars. If he counted 312 cars total, how many of them were purple?
[Answer]Let g be the number of green cars, r be the number of red cars, and p be the number of purple cars. We know that g + r + p = 315, r = p + 6, and g = 4r. Substitute the second equation into the third equation to get: g = 4r = 4(p + 6) = 4p + 24. Now substitute the equations that express g and r in terms of p in the equation for the total number of cars: 4p + 24 + p + 6 + p = 315. Now combine like terms to get 6p + 30 = 312. Now subtract 30 from both sides to get 6p = 282. Now divide both sides by 6 to get p = 47. The answer is 47.
Q: Jackie's favorite cosmetic company was offering free shipping when you spent $50.00. Jackie ordered her favorite shampoo and conditioner that each cost $10.00 a bottle and 3 bottles of lotion that cost $6.00 each. How much more money does Jackie need to spend to be eligible for free shipping?
A: The shampoo and conditioner cost $10 each so 2 * $10 = $20.00. 3 bottles of lotion cost $6.00 each so 3 * $6 = $18.00. So far she has spent $20 + $18 = $38.00. You need to spend $50.00 for free shipping and she has spent $38.00 already so she needs to buy $50 - $38 = $12.00 more in products. The answer is 12.
Question: Rob planned on spending three hours reading in preparation for his literature exam. If he ends up spending only three-quarters of this time reading, and he reads a page every fifteen minutes, how many pages did he read in this time?
Answer:
1 hour is 60 minutes so 3 hours is 3 * 60 = 180 minutes. Three - quarters of 180 minutes is (3 / 4) * 180 = 135 minutes. He spends 15 minutes on 1 page so he will spend 135 minutes on 135 / 15 = 9 pages. The answer is 9.