Tirzah has a lot of purses and handbags; in total she has 26 purses and 24 handbags. Half the purses and 1/4 the handbags are fake. If the rest are authentic, how many purses and handbags in total are genuine?
Let's think: 26 / 2 = 13 of the purses are genuine. 24 / 4 = 6 of the handbags are fake. 24 - 6 = 18 of the handbags are genuine. There are 13 + 18 = 31 genuine purses and handbags.. The answer is: 31.

A swimming pool is being emptied through a drain at the bottom of the pool and filled by a hose at the top. The drain can empty the pool in 4 hours and the hose can fill the pool in 6 hours. The pool holds 120 liters of water. If the pool starts filled with water, how much water will be left after 3 hours?
Let's think: It takes the drain 4 hours to empty the pool, so it drains at a rate of 120 liters / 4 hours = 30 liters / hour. After 3 hours, the drain will have removed 3 * 30 = 90 liters of water from the pool. It takes the hose 6 hours to fill the pool, so it fills at a rate of 120 liters / 6 hours = 20 liters / hour. After 3 hours, the hose will have added 3 * 20 = 60 liters of water to the pool. After 3 hours, there will be 120 liters + 60 liters 90 liters = 90 liters of water left in the pool.. The answer is: 90.

Sam went for a run in the morning. In the afternoon, he went grocery shopping and walked twice the distance through the store as he had run that morning. That evening, he went on a bike ride with his family and biked for 12 miles. In all, he went 18 miles that day. How many miles was Sam's morning run?
Let's think: Let X be the distance Sam ran. His walk through the store was twice the distance of his run, so his walk was 2X. He biked for 12 miles and went 18 miles in all, so he walked and ran 18 - 12 = 6 miles. Thus, his walk and run together were X + 2X = 3X = 6 miles. Thus, he ran X = 6 / 3 = 2 miles.. The answer is: 2.

Frankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?
Let's think:
He has 6 - 2 = 4 cats. He has 4 - 1 = 3 parrots. He has 4 + 6 = 10 snakes. He has a total of 2 + 4 + 3 + 10 = 19 pets.. The answer is: 19.