The actual initial inventory of Samsung cell phones was 14, but there were 2 defective phones so 14 - 2 = 12 is the initial inventory of working Samsung phones. The actual initial inventory of iPhone cell phones was 8, but there was one defective phone, so 8 - 1 = 7 is the actual initial inventory of working iPhones. Thus only 12 - 10 = 2 Samsung cell phones were sold. Thus only 7 - 5 = 2 iPhones were sold. Thus the total number of phones sold is 2 Samsung + 2 iPhone = 4 cell phones.
The answer: 4
Reverse engineering the question: David has a store where he sells cell phones. When he takes inventory at the end of the day, he notices that he has 10 Samsung cell phones but he started the day with 14 Samsung cell phones. Then he notices that he has 5 iPhones and in the initial inventory, but started with 8. His staff then told him that in the afternoon they realized that 2 Samsung cell phones were damaged and 1 iPhone had a manufacturing defect in the screen, so they threw these out during the day. What was the total number of cell phones that were sold today?
Reasoning and answer: If there were 150 members in the group before the admin removed 20, then 150 - 20 = 130 members remained after 20 were removed. The group members each posted 50 messages in a day, a total of 50 * 130 = 6500 messages. In a week, with seven days, the group members would have posted 6500 * 7 = 45500 messages.
The answer: 45500
What was the question?
Question: After violating the group's policies, 20 members of a Facebook group were removed by the group's admin. If each member posted 50 messages per day in the group and the number of members in the group was 150 before the admin removed some, calculate the total number of messages the remaining members would send in a week.
Let a be the number of tickets Alan hands out and m be the number Marcy hands out. We know that a + m = 150 and m = 5a - 6. Substituting the second equation into the first, we get a + 5a - 6 = 150. Adding 2 to both sides, we get a + 5a = 156. Combining like terms, we get 6a = 156. Dividing both sides by 6, we get a = 26.
The answer: 26
Reverse engineering the question: Together, Alan and Marcy handed out 150 parking tickets. If Marcy handed out 6 fewer than 5 times as many tickets as Alan, how many tickets did Alan hand out?
Reasoning and answer: Each necklace cost 10 * 15 = $150 to make. So he makes a profit of 200 - 150 = $50 each. So his total profit is 50 * 30 = $1500.
The answer: 1500
What was the question?
Question: Tim decides to start selling necklaces he makes. He uses 10 charms to make each necklace. Each charm cost $15. He sells the necklace for $200. How much profit does he make if he sells 30?
On sale, a pint of strawberries costs 216 / 54 = $4. The supermarket would have made 216 + 108 = $324 if the strawberries were not on sale. Thus, a pint of strawberries not on sale costs 324 / 54 = $6. Hence, a pint of strawberries costs 6 - 4 = $2 more when not on sale.
The answer: 2
Reverse engineering the question: A supermarket has pints of strawberries on sale. They sold 54 pints and made $216, which was $108 less than they would have made selling the same number of pints without the sale. How many more dollars does a pint of strawberries cost when not on sale?
The pistachios cost 10 / 5 = $2 per ounce. He eats 30 / 5 = 6 ounces of pistachios a day. So he spends 6 * 2 = $12 per day on pistachios. So he spends 12 * 7 = $84 per week.
The answer: 84
Reverse engineering the question:
James buys pistachios for $10 per can. Each can is 5 ounces. He eats 30 ounces of pistachios every 5 days. How much does he spend on pistachios per week?