Q: Nancy and Jason are learning to dance for the first time. Nancy steps on her partner's feet 3 times as often as Jason. If together they step on each other's feet 32 times, how many times does Jason step on his partner's feet?
A: 8
Step-by-step reasoning process: Let n be the number of times Nancy steps on her partner's feet and j be the number of times Jason does. We know that n = 3j and n + j = 32. Substituting the first equation into the second equation, we get 3j + j = 32. Combining like terms, we get 4j = 32. Dividing both sides by 4, we get j = 8.

Q: Stacy bought two packs of printer paper for the office. Each pack has 240 sheets of paper. Her office prints 80 one-page documents per day. How many days will the printer paper last her office?
A: 6
Step-by-step reasoning process: Stacy bought 2 * 240 = 480 sheets of paper. At 80 pages per day, the printer paper will last her office 480 / 80 = 6 days.

Q: 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?
A: 4
Step-by-step reasoning process: 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.

Q: Tyler has 21 CDs. He gives away a third of his CDs to his friend. Then he goes to the music store and buys 8 brand new CDs. How many CDs does Tyler have now?
A: 22
Step-by-step reasoning process: Tyler gives away 21 / 3 = 7 CDs. After giving away a third of his CDs, Tyler has 21 - 7 = 14 CDs. After buying new CDs, Tyler has 14 + 8 = 22 CDs.