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?
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A: 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 The answer is  8.
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