Question: It takes Jason 30 minutes to cut 1 lawn in his neighborhood. If he cuts 8 yards on both Saturday and Sunday, how many hours does he spend cutting grass?
Answer: He cuts 8 yards on both Saturday and Sunday so that’s 2 * 8 = 16 yards. It takes him 30 minutes to cut 1 yard so it takes him 30 * 16 = 480 minutes. There are 60 minutes in 1 hour and it takes him 480 minutes so that’s a total of 480 / 60 = 8 hours. The answer is 8.
[Question]Ivan has 20 dice. Jerry has twice as many dice as Ivan. How many dice do they have altogether?
[Answer]Jerry has 2 x 20 = 40 dice. Therefore, they have 20 + 40 = 60 dice altogether. The answer is 60.
Q: Nancy is filling an aquarium for her fish. She fills it halfway and goes to answer the door. While she's gone, her cat knocks the aquarium over and spills half the water in it. Then Nancy comes back and triples the amount of water in the aquarium. If the aquarium is 4 feet long, 6 feet wide, and 3 feet high, how many cubic feet of water are in the aquarium?
A: First calculate the volume of the aquarium by multiplying its length, width and height: 4 ft * 6 ft * 3 ft = 72 cubic ft. Then figure out what proportion of the aquarium is full after the cat knocks it over: 1 / 2 * 1 / 2 = 1 / 4. Then figure out what proportion of the aquarium is full after Nancy refills it: 3 * 1 / 4 = 3 / 4. Now multiply the proportion of the aquarium that's full by the aquarium's volume to find out how much water is in it: 72 cubic ft * 3 / 4 = 54 cubic ft. The answer is 54.
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?
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 is 15.
[Question]Emma buys 2 containers of milk every school day for lunch. She does not go to school on the weekends. How many containers of milk does she buy in 3 weeks?
[Answer]There are 5 school days in a week: 5 days / week x 2 containers of milk / day = 10 containers of milk every week. Finally the number of container for 3 weeks is 3 weeks x 10 containers / week = 30 containers. The answer is 30.
[Question]Carter has a jar with 20 green M&Ms and 20 red M&Ms. He eats 12 of the green M&Ms, then his sister comes and eats half the red M&Ms and adds 14 yellow M&Ms. If Carter picks an M&M at random now, what is the percentage chance he'll get a green M&M?
[Answer]
First find the final number of green M&Ms by subtracting 12 from the starting number: 20 M&Ms - 12 M&Ms = 8 green M&Ms. Then find the final number of red M&Ms by dividing the starting number by half: 20 M&Ms / 2 = 10 red M&Ms. Then find the total number of M&Ms at the end by adding the number of red, green and yellow M&Ms: 8 M&Ms + 10 M&Ms + 14 M&Ms = 32 M&Ms. Then divide the number of green M&Ms by the total number of M&Ms and multiply by 100 to find the percentage chance Carter gets a green M&M: 8 M&Ms / 32 M&Ms * 100 = 25%. The answer is 25.