SOLUTION: A theater seats 990 people. For a sellout performance, full price tickets are $8.50 and student tickets are $4.00. If ticket sales were $6885, then how many student tickets were so

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Question 669818: A theater seats 990 people. For a sellout performance, full price tickets are $8.50 and student tickets are $4.00. If ticket sales were $6885, then how many student tickets were sold.
I think it starts like this:
6885=8.5(990-y)+4(990-x)

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
x+y = 990
8.5x + 4y = 6885
...
Substitute for one variable, the idea is to isolate and solve for one variable at a time.
8.5(990-y) + 4y = 6885
8415 - 8.5y + 4y = 6885
...
-4.5y = -1530
highlight_green%28y+=+340%29 students
...
8.5x + 4(990-x) = 6885
8.5x + 3960 - 4x = 6885
4.5x = 2925
highlight_green%28x+=+650%29 non-students
.....................
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