SOLUTION: A movie theater has a seating capacity of 315. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children

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Question 1130094: A movie theater has a seating capacity of 315. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2282, How many children, students, and adults attended?

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
                QUANTITY      SALES-MONEY
children         2y            5*2y
students        315-3y         7(315-3y)
adults            y           12y
TOTAL            315          2282

The sum of the revenues of each group is 2282 dollars.
10y%2B7%2A315-21y%2B12y=2282
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y=2282-7%2A315
highlight%28y=77%29--------use this to find the other two quantities.