contestada

They are charging adults $25 and children $10 per ticket. If 200 tickets are sold for a total of $3,200, how many adult tickets were sold and children's tickets were sold

Respuesta :

Let the amount of adult tickets bought be A, and the amount of child tickets bought be C.
We know that 25A + 10C = 3200
But we also know that A + C = 200
This means that 10A + 10C = 2000
Subtract the equations:
(25A+10C) - (10A+10C) = 3200-2000
So 15A = 1200
A = 80
So 80 adult tickets were sold.
Sub this back in:

A + C = 200
80+C = 200
So C = 120
So 120 Child tickets were sold.

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