At a germination rate of 60%, 25 seeds will yield 60 / 100 * 25 = 15 plants. At a germination rate of 80%, 25 seeds will yield 80 / 100 * 25 = 20 plants. In total, she will have grown 15 + 20 = 35 plants. If 80% of the plants developed flowers, then she will have grown (80 / 100) * 35 = 28 plants that produce flowers.
The answer: 28
Reverse engineering the question: Hortense loves daisies and sunflowers. She planted 25 daisy seeds and 25 sunflower seeds in her flower bed. If 60% of the daisy seeds germinate, and 80% of the sunflower seeds germinate, and 80% of the resulting plants produce flowers, how many plants will she grow that produce flowers?


Reasoning and answer: She splits her $960 profit in half to get $960 / 2 = $480. She receives a total donation of $310, so she now has $310 + $480 = $790. She needed only $610 so she has $790 - $610 = $180 more than she needs.
The answer: 180
What was the question?
Question: A trader made a profit of $960 after a week of sales. To raise $610 to pay for her next shipment of wares, she splits the profit in half and solicits donations from her family and friends. If she received a total donation of $310 and adds it to one-half of her profit, how much money did she make above her goal?


30 x 2 / 5 = 12 members ordered lemon juice. So, 30 - 12 = 18 members did not order lemon juice. Since 1 / 3 of the remaining ordered mango juice, then 18 x 2 / 3 = 12 members ordered mango juice. Therefore, 18 - 12 = 6 members ordered orange juice.
The answer: 6
Reverse engineering the question: A club with 30 members ordered fruit juices. Two-fifths of them ordered lemon juice. One-third of the remaining members ordered mango juice, and the rest ordered orange juice. How many members ordered orange juice?


Reasoning and answer: Hector gave to Alisha twice as many as he had given Todd, for a total of 4 * 2 = 8 gumballs,. Hector gave 5 less than four times as many to Bobby as he had given to Alisha, or a total of (8 * 4) - 5 = 27 gumballs. If Hector had 6 gumballs remaining, he originally purchased 4 + 8 + 27 + 6 = 45 gumballs.
The answer: 45
What was the question?
Question: Hector purchased a container of gumballs. He gave 4 to Todd, then he gave twice as many as he had given Todd to Alisha, and then he gave 5 less than four times as many to Bobby as he had given to Alisha. If Hector had 6 gumballs remaining, what is the total number of gumballs that Hector purchased?


On Monday, Steve was paid 8 * 2 = 16 dollars. Tuesday’s harvest was 3 * 8 = 24 pounds. The 24 pounds Steve picked on Tuesday gave him 24 * 2 = 48 dollars. So, the amount Steve earned from the first two days on the job is 16 + 48 = 64 dollars. Since Steve rested on Wednesday, he made 0 dollars, meaning his earnings were 64 + 0 = 64 dollars. The difference between Steve’s earnings and his target is 100 - 64 = 36 dollars. Since he was paid 2 dollars for each pound of lingonberries, Steve needed to pick 36 / 2 = 18 pounds.
The answer: 18
Reverse engineering the question: Steve wanted to make a total of $100 within four days, so he took on a berry-picking job in Sweden. The job paid $2 for every pound of lingonberries picked. On Monday he picked 8 pounds. Tuesday’s harvest was triple what he had picked the previous day. On Wednesday he felt very tired and decided to rest. How many pounds of lingonberries did Steve have to pick on Thursday?


Madeline spends 4 * 7 = 28 hours on homework. She spends 8 * 7 - 56 hours sleeping. Therefore, she is busy 28 + 18 + 56 + 20 = 122 hours per week. There are 7 * 24 = 168 hours per week. Thus, Madeline has 168 - 122 = 46 hours left over.
The answer: 46
Reverse engineering the question:
Madeline spends 18 hours a week in class. She spends 4 hours per day working on homework. She spends 8 hours per day sleeping. She works part-time 20 hours per week. How many hours left over does Madeline have?