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Answered

University Theater sold 556 tickets for a play. Tickets cost $22 per adult

and $12 per senior citizen. If total receipts were $8492, how many senior

citizen tickets were sold?

Verified Answer :

xlilredridinghoodx

Let A be number of adult tickets brought
Let S be number of senior citizen tickets brought

8492 = 22A + 12S (1)
A = 556 - S (2)

Plug (2) into (1)
8492 = 22(556 - S) + 12S
8492 = 12232 - 22S + 12S
8492 - 12232 = -22S + 12S
-3740 = -10S
-3740/10 = -10S/-10
374 = S
S = 374

Note that there are several more steps you can take to check the answer and/or find A.



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