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The tickets are $5 adult and $2 child.
Here is the algebraic substitution.
A = adult ticket money
C = child ticket money
120C + 80A = 640
C = A-3 (three dollars less)
120 (A-3) + 80A = 640
120 A - 360 + 80A = 640
200 A = 1000
A = 5
C = A - 3 = 2
Checking your answer:
120(2) + 80 (5) = 240 + 400 = 640
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