Question: A vegan restaurant serves three kinds of protein: seitan, beans, and lentils. There are ten dishes on their menu. Two have beans and lentils, and two have beans and seitan. The remaining dishes only have one kind of protein in them. Half of the remaining dishes have only beans, and there are three times as many dishes with only beans as with only seitan. How many dishes include lentils?
Answer: The vegan restaurant serves 10 - 2 - 2 = 6 dishes with only one kind of protein. There are 6 / 2 = 3 dishes with only beans. There is 3 / 3 = 1 dish with only seitan. Thus, there are 6 - 3 - 1 = 2 dishes with only lentils. There are also 2 dishes with beans and lentils, so there are 2 + 2 = 4 dishes that include lentils. The answer is 4.

Question: Sam and Drew have a combined age of 54. Sam is half of Drew's age. How old is Sam?
Answer: Let x be Drew's age. Sam is (1 / 2)x. x + (1 / 2)x = 54. (3 / 2)x = 54. 3x = 108. x = 36. Sam is 36 / 2 = 18 years old. The answer is 18.

Question: Celia runs twice as fast as Lexie. If it takes Lexie 20 minutes to run a mile, how long, in minutes, will it take Celia to 30 miles?
Answer: If Lexie takes 20 minutes to run a mile, Celia takes 20 / 2 = 10 minutes to run the same distance since she is twice as fast. Celia takes 10 minutes to run one mile so it will take 10 * 30 = 300 minutes to run 30 miles. The answer is 300.

Question: Traveling from Manhattan to the Bronx, Andrew rides the subway for 10 hours, takes the train and rides for twice as much time as the subway ride, and then bikes the remaining distance for 8 hours. What's the total time he takes to reach the Bronx from Manhattan?
Answer:
The train ride takes Andrew 2 * 10 = 20 hours. Together, the subway ride and the train ride take Andrew 10 + 20 = 30 hours. With an additional bike ride of 8 hours to reach the Bronx, Andrew takes 30 + 8 = 38 hours to travel from Manhattan to the Bronx. The answer is 38.