University Theater sold 556 tickets for a play. Tickets cost $22 per adultand $12 per senior citizen. If total receipts were $84 92, how many seniorcitizen tickets were sold?
1 answer:
To find the answer, set up a system of equations. Let x=adult tickets and y=senior citizen tickets. x+y=556 22x+12y=8492 Change the first equation to make it easy to combine with the second equation. y=556-x Now substitute (556-x) for y in the second equation. 22x+12(556-x)=8492 Simplify and combine like terms. 22x+6672-12x=8492 10x=1820 x=182 182 adult tickets were sold, so to solve for the number of senior citizen tickets sold, subtract 182 from 556. 556-182=374 374 senior citizen tickets were sold.
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