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Sharon has 4 more purses than one-third as many purses as Halle. Define a variable and write an expression to represent the number of purses in Sharon's collection. Then find the number of purses Sharon's collection if Halle has 15 purses.

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Let p represent the number of purses in Sharon's collection. We can write an expression to represent the number of purses in Sharon's collection as: p = 4 + (1/3)p.

To find the number of purses in Sharon's collection, substitute 15 for p in the expression and solve for p. This gives us: p = 4 + (1/3)(15) = 19.

Therefore, Sharon has 19 purses in her collection.
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