Reasoning and answer: If half of the fruit equals 9 pieces, then Tanya bought 2 * 9 = 18 pieces of fruit. Thus, Tanya bought 18 - 6 - 4 - 2 = 6 plums.
The answer: 6
What was the question?
Question: Tanya went to the grocery store to buy some fruit. She bought 6 pears, 4 Granny Smith apples, 2 pineapples, and a small basket of plums, which were all placed in a single paper bag. Unfortunately, the bag that the fruit had been placed in had developed a hole. Therefore, as Tanya walked home, half of the fruit fell out of the bag. When she later counted the fruit left in the bag, there were only 9 pieces remaining. How many plums did she buy?


We know that Josh must be 30 years older than his age when they got married, therefore he is 30 + 22 = 52 years old today. If their current combined age is 5 times the age Josh was when they married (22), then their total combined age is 5 * 22 = 110 years. That means that Anna must be 110 - 52 = 58 years old today. If they married 30 years ago, Anna must have been 58 - 30 = 28 years old when they married.
The answer: 28
Reverse engineering the question: Josh and Anna were both born on August 17th, but in different years. To consolidate celebrations they also got married on August 17 when Josh turned 22. If today they're celebrating 30 years of marriage and their combined age is exactly 5 times what Josh's age was when they married, how old was Anna when they got married?


Reasoning and answer: The cost of 5 pieces of hamburger is $3 x 5 = $15. The cost of 4 sets of French fries is $1.20 x 4 = $4.80. The cost of 5 cups of soda is $0.5 x 5 = $2.50. So their total bill is $15 + $4.80 + $2.50 + $2.7 = $25. Hence, each of the five friends will contribute $25 / 5 = $5.
The answer: 5
What was the question?
Question: Five friends eat at a fast-food chain and order the following: 5 pieces of hamburger that cost $3 each; 4 sets of French fries that cost $1.20; 5 cups of soda that cost $0.5 each; and 1 platter of spaghetti that cost $2.7. How much will each of them pay if they will split the bill equally?


Roger will need 13 + 3 + 2 = 18 pouches of trail mix. If you divide the amount of trail mix pouches by the amount in each pack, 18 / 6 = 3 packs of trail mix.
The answer: 3
Reverse engineering the question: It is Roger’s turn to provide a snack for the baseball team after the game and he has decided to bring trail mix. The trail mix comes in packs of 6 individual pouches. Roger has 13 members on his baseball team, plus 3 coaches and 2 helpers. How many packs of trail mix does he need to buy?


Reasoning and answer: Casey wants to paint her 10 toenails + 10 fingernails = 20 nails in total. First she wants to do a base coat which takes 20 minutes to apply + 20 minutes to dry = 40 minutes total for the first coat. It will take the same amount of time to do a coat of paint and let it dry and to do a coat of glitter and let it dry, 40 minutes x 3 different coats = 120 minutes total to paint her toenails and fingernails.
The answer: 120
What was the question?
Question: Casey wants to decorate her toenails and fingernails. First, she wants to do a base coat on each nail, then a coat of paint and finally a coat of glitter on every nail. It takes 20 minutes to apply each coat and 20 minutes for each coat to dry before applying the next one. Assuming Casey's nails will be done when all coats have been applied and dried, how many minutes will it take her to finish decorating her fingernails and toenails?


Reasoning and answer: First find Carolyn's total violin practice time by tripling her piano practice time: 20 minutes / day * 3 = 60 minutes / day. Then find the total amount of time she spends practicing each day: 60 minutes / day + 20 minutes / day = 80 minutes / day. Then find the total time she spends practicing each week: 80 minutes / day * 6 days / week = 480 minutes / week. Then find the total time she spends practicing each month: 480 minutes / week * 4 weeks / month = 1920 minutes / month.
The answer: 1920
What was the question?
Question:
Carolyn practices the piano for 20 minutes a day and the violin for three times as long. If she practice six days a week, how many minutes does she spend practicing in a month with four weeks?