SOLUTION: Adult tickets for a play cost $25 each and children's tickets cost $15 each. The total receipts were $7200 and the total attendance was 400. How many adults and how many children

Question 638539: Adult tickets for a play cost $25 each and children's tickets cost $15 each. The total receipts were $7200 and the total attendance was 400. How many adults and how many children attended?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of adult tickets sold
Let = number of children's tickets sold
given:
(1)
(2)
----------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
120 adult tickets were sold
280 children's tickets were sold
check:
(2)
(2)
(2)
OK
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