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.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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.      Log On


   

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) About Me  (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