Michelle and Julie sold 65 cupcakes. If Julie sold 9 more cupcakes than Michelle, how many cupcakes

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Michelle and Julie sold 65 cupcakes. If Julie sold 9 more cupcakes than Michelle, how many cupcakes did each of them sell?

Let m = Michelle's cupcakes and j = Julie's cupcakes.

We have two equations:

m + j = 65
j = m + 9

Substituting, we get:
m + (m + 9) = 65

Combine like terms, we get:
2m + 9 = 65

Subtract 9 from each side:
2m = 56

Divide each side by 2 to isolate m
m = 28


If m = 28, then j = 28 + 9 = 37
So (m, j) = (28, 37)