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? Let's think first. Chain of thought:
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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.
Therefore, the answer is 8.
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