Reasoning and answer: First find Jack's chances of getting bitten by an infected mosquito: 40% + 20% = 60%. The chance of being infected by a mosquito with after being bitten: 60% * 50% = 30%. Then find the chances of getting ill after receiving the vaccine: 30% * 50% = 15%.
The answer: 15
What was the question?
Question: 40% of the mosquitos in Jack's area are infected with malaria. 20% of the mosquitos are infected with Zika virus. Without a vaccine, the chances of getting infected with either virus after getting bitten by an infected mosquito are 50%. Jack is taking an experimental malaria vaccine that reduces the chances of getting infected after getting bitten by 50%. If Jack gets bitten by a random mosquito, what is the percentage chance he catches either Zika virus or malaria?
First Store:50000(.10) = 5000. 50000 - 5000 = 45000 pounds. Second Store:45000(.20) = 9000. 45000 - 9000 = 36000 pounds.
The answer: 36000
Reverse engineering the question: A tractor trailer has a load of 50000 pounds. 10% of the weight gets unloaded at the first store, and 20% of the remaining load is removed at the second store. How much weight, in pounds, is left on the truck after the two deliveries?
Reasoning and answer: The break occurred (12 - 2) / 2 = 5 feet from the top. Then it was 12 - 5 = 7 feet from the base.
The answer: 7
What was the question?
Question: A flagpole is 12 feet tall. It breaks, folding over in half, such that what was the tip of the flagpole is now dangling two feet above the ground. How far from the base, in feet, did the flagpole break?
Lola's breeding rabbits made 10 * 10 = 100 offspring. 100 / 2 = 50 got adopted. 5 offspring came back which made Lola have 50 + 5 = 55 of them. In the next spring, 60 - 4 = 56 new offspring stayed with Lola. In total, there are 55 + 56 = 111 offspring. Including the breeding rabbits, there are 111 + 10 = 121 rabbits in total.
The answer: 121
Reverse engineering the question: Lola's rabbits keep having kittens each spring. During the first spring, her 10 breeding rabbits had 10 times as many kittens as the number of breeding rabbits Lola has, and half of the kittens got adopted. 5 of them had to be returned to Lola due to re-homing problems. During the next spring, her 10 breeding rabbits only had a total of 60 kittens, with 4 of the kittens being adopted. Including the breeding rabbits, how many rabbits does Lola have in her house?
Reasoning and answer: 42 / 2 = 21 raspberries had been picked. 42 / 3 = 14 blackberries had been picked. 21 + 14 = 35 raspberries and blackberries had been picked. 42 - 35 = 7 blueberries had been picked.
The answer: 7
What was the question?
Question: 42 raspberries, blackberries, and blueberries were picked in total. If half of all the berries had been raspberries, and a third of the berries were blackberries, how many of them were blueberries?
Reasoning and answer: Per week, one cow produces 108 liters / 6 cows = 18 liters / cow. The cows produced 2160 liters of milk over 5 weeks. So we have 2160 liters / 18 liters / cow = 120 cows. Further, we have to divide 120 cows / 5 weeks = 24 cows.
The answer: 24
What was the question?
Question:
On a farm, on average every 6 cows produce 108 liters of milk per week. In five weeks the cows produced 2160 liters of milk. How many cows are on the farm?