9514 1404 393
Answer:
- freshman/sophomore: 725
- junior/senior: -200
Explanation:
It is convenient to let a variable represent the number of the highest-price tickets sold. We'll use x for that. Then the number of lower-price tickets sold is 525 -x and the total revenue is ...
8x +6(525 -x) = 4600
2x = 1450 . . . . . . . . . . . . subtract 3150
x = 725
525 -x = -200
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The school sold 725 freshman/sophomore tickets and -200 junior/senior tickets.
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Comment on the question
There is apparently an error in the question somewhere. The average revenue per ticket is ...
$4600/525 ≈ $8.76
You cannot sell $6 and $8 tickets and earn more than $8 per ticket sold. (Average revenue must be between $6 and $8 per ticket.)
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If we assume a typo in revenue, and that it should be $3600, then the sales will be 225 freshman tickets and 300 senior tickets.