Question: Tate has 32 tickets for a particular game. He then buys two more tickets for the game. His friend Peyton, who has half as many total tickets, drives with him to the game. How many tickets do Tate and Peyton have together?
Answer: When Tate bought 2 more tickets, the total number of tickets he has increased to 32 + 2 = 34 tickets. Peyton has half as many tickets, meaning he has 1 / 2 * 34 = 17 tickets. Together, they have 34 + 17 = 51 tickets. The answer is 51.
[Question]40% of a farmer's cattle are males. The rest are females. If a female cow produces 2 gallons of milk a day, how much milk will the farmer get a day if he has 50 male cows?
[Answer]The farmer has 125 cows because 50 / .4 = 125. The farmer has 75 female cows because 125 x .6 = 75. The farmer will get 150 gallons of milk a day because 75 x 2 = 150. The answer is 150.
Q: If 3 crows eat 30 worms in one hour, how many worms will 5 crows eat in 2 hours?
A: If 3 crows eat 30 worms in one hour, then each crow eats 30 / 3 = 10 worms per hour. 5 crows will eat 5 * 10 = 50 worms per hour. Over two hours, 5 crows will eat 2 * 50 = 100 worms. The answer is 100.
Question: A mosquito sucks 20 drops of blood every time it feeds on someone. If there are 5000 drops per liter and you have to lose 3 liters of blood to die, how many mosquitoes would have to feed on you to kill you?
Answer: First find the total number of liters a mosquito sucks in one feeding: 20 drops / 5000 drops / liter = .004 L / feeding. Then divide the lethal amount of blood by the amount of blood one mosquito can drain: 3 L / .004 L / feeding = 750 feedings. The answer is 750.
[Question]Central Park had 8 more than half of the number of trash cans as in Veteran's Park. Then one night, someone took half of the trash cans from Central Park and put them in Veteran's Park. If originally there were 24 trash cans in Veteran's Park, how many trash cans are now in Veteran's Park?
[Answer]Half the original number of trash cans in Veteran's Park is 24 / 2 = 12 trash cans. Thus Central Park originally had 8 more than half the number of trash cans as what was originally in Veteran's Park, or 12 + 8 = 20 trash cans. Half of the trash cans from Central Park is 20 / 2 = 10 trash cans. After the addition of the 10 new cans, there are now 24 + 10 = 34 trash cans in Veteran's Park. The answer is 34.
[Question]Cole wants to fence his backyard on three sides. His backyard is 9 feet along the sides and 18 feet along the back. The neighbor behind him agreed to pay for half of their shared side of his fence, and the neighbor on his left agreed to pay for a third of their shared side. Fencing costs $3 per foot. How much does Cole have to pay for the fence?
[Answer]
Cole has to pay 3 * 9 = $27 for one side of the side fence. For the shared left fence, he has to pay two - thirds of 27, so he has to pay 27 * 2 / 3 = $18. The shared back fence will cost 3 * 18 = $54. He has to pay for half the back fence, so it will cost 54 / 2 = $27. Thus, Cole has to pay 18 + 27 + 27 = $72 for the fence. The answer is 72.