SOLUTION: University Theater sold 510 tickets for a play. Tickets cost $21 per adult and $15 per senior citizen. If total recipts were $8748, how many senior citizen tickets were sold.

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Question 131191:
University Theater sold 510 tickets for a play. Tickets cost $21 per adult and $15 per senior citizen. If total recipts were $8748, how many senior citizen tickets were sold.

Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
A+S=510 OR A=510-S
21A+15S=8,748
21(510-S)+15S=8,748
10,710-21S+15S=8,748
-6S=8,748-10,710
-6S=-1,962
S=-1,962/-6
S=327 NUMBER OF SENIOR TICKETS.
510-327=183 NUMBER OF ADULT TICKETS.
PROOF:
21*183+15*327=8,748
3,843+4,905=8,748
8,748=8,748

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