Reasoning and answer: First cross - multiply to give both fractions the same denominator, then add the fractions: 1 / 3 + 1 / 4 = 4 / 12 + 3 / 12. Then add these fractions to find that she has 4 / 12 + 3 / 12 = 7 / 12 of a bottle of shampoo left. Then divide the total amount of shampoo she has by the amount she uses per day to find the number of days the shampoo will last: 7 / 12 / 1 / 12 / day = 7 days.
The answer: 7
What was the question?
Question: Janet has 1/3 of a bottle of rose shampoo and 1/4 of a bottle of jasmine shampoo. If she uses 1/12 of a bottle of shampoo per day, how many days will her shampoo last?
Harrison read 10 more than the assigned 25 pages so he read 10 + 25 = 35 pages. Pam read 15 more pages than Harrison's 35 pages so she read 15 + 35 = 50 pages. Sam read twice the amount of Pam's 50 pages so he read 2 * 50 = 100 pages.
The answer: 100
Reverse engineering the question: The teacher assigned a minimum of 25 pages of reading for homework. Harrison read 10 more pages than assigned. Pam read 15 more pages than Harrison and Sam read twice the amount of Pam. How many pages did Sam read?
Reasoning and answer: Calculating the difference between the can lids Aaron has now and the amount that he had initially shows there were 53 14 = 39 can lids in the boxes of canned tomatoes. As the boxes are the same size, splitting these can lids equally shows that there were 39 / 3 = 13 can lids in each box.
The answer: 13
What was the question?
Question: Aaron is gathering can lids to take to the recycling center. He uses 3 equal-sized boxes of canned tomatoes and adds the lids he gets to the 14 can lids he already has. He is now taking 53 can lids to the recycling center. How many cans lids did he get from each box?
Andy works 8 hours, so he earns a wage of 8 hours * $9 per hour = $72 just for working there. During that time, he restrings 7 racquets, so he earns 7 racquets * $15 per racquet = $105 from stringing. He also changed the grommets in 2 of those racquets, so he earned 2 grommet jobs * $10 per grommet job = $20 from changing grommets. And he stenciled 5 racquets, so he earned 5 stencil jobs * $1 per stencil job = $5 for stenciling. In total, Andy earned $72 + $105 + $20 + 5 = $202 for the day.
The answer: 202
Reverse engineering the question: Andy works in the pro shop at a tennis resort, where he earns $9 an hour. In addition to this, he gets paid $15 for each racquet he restrings, $10 for changing out the grommets on a racquet, and $1 for painting a stencil on the racquet strings. How much does he earn (before taxes) during an 8-hour shift if he strings 7 racquets, changes 2 sets of grommets, and paints 5 stencils?
Reasoning and answer: The cost of a regularly - priced uniform is $7.50 for the shirt + $15 for pants + $4.50 for socks = $27. The cost of a discounted uniform is $6.75 for the shirt + $13.50 for pants + $3.75 for socks = $24. By purchasing the discounted uniform, each team member would save $27 for full price - $24 for discounted = $3. So, for the team of 12, they would save $3 * 12 = $36.
The answer: 36
What was the question?
Question: Each member of Greg's softball team needs to buy one uniform made up of a shirt, a pair of pants, and socks. A shirt costs $7.50, a pair of pants cost $15, and socks cost $4.50 each if each team member buys the uniform items on their own. If they buy the items as a group, they are given a discount. A discounted shirt cost $6.75, a discounted pair of pants cost $13.50, and discounted socks cost $3.75. How much would their team of 12 save with the group discount?
Reasoning and answer: Gina's mom received 1 / 4 x $400 = $100. She used 1 / 8 x $400 = $50 to buy clothes. She gave 1 / 5 x $400 = $80 to a charity. Thus, she spent a total of $100 + $50 + $80 = $230. Therefore, Gina kept $400 - $230 = $170.
The answer: 170
What was the question?
Question:
Gina had $400. She gave 1/4 of her money to her mom, used 1/8 of her money to buy clothes, gave 1/5 of her money to a charity, and kept the remaining money. How much did Gina keep?