Question: Jason's dog has a tail that's half the length of its body, and a head that's 1/6 the length of its body. If the dog is 30 inches long overall, how long is its tail?
Answer with step-by-step thinking: If b is the length of the body, h is the length of the head, and t is the length of the tail, we know that b + h + t = 30, h = b / 6 and t = b / 2. We can substitute the second two equations into the first equation to get b + b / 6 + b / 2 = 30. Now multiply both sides of this equation by 6: 6b + b + 3b = 180. Now combine like terms: 10b = 180. Now divide both sides by 10: b = 180. The dog's body is 18 inches long. Now divide that length by 2 to find the length of its tail: 18 inches / 2 = 9 inches.
So the answer is 9.


Question: If it takes 20 minutes to paint a house, how many houses can you paint in 3 hours?
Answer with step-by-step thinking: There are 3 hours * 60 minutes / hour = 180 minutes in 3 hours. You can paint 180 minutes / 20 houses / minute = 9 houses in 3 hours.
So the answer is 9.


Question: 198 passengers fit into 9 buses. How many passengers fit in 5 buses?
Answer with step-by-step thinking:
198 passengers / 9 buses = 22 passengers fit in one bus. 22 passengers / bus * 5 buses = 110 passengers fit in 5 buses.
So the answer is 110.