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

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.