SOLUTION: The admission to a soccer game is $8.50 for adults and $5.50 for students. If 744 tickets were sold at a total price of $4527, how many tickets of each type were sold?

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Question 379496: The admission to a soccer game is $8.50 for adults and $5.50 for students. If 744 tickets were sold at a total price of $4527, how many tickets of each type were sold?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the number of adult tickets, S the number of student tickets sold.
1.A%2BS=744
2.850A%2B550S=452700
Multiply eq. 1 by (-550) and add to eq. 2,
-550A-550S%2B850A%2B550S=-409200%2B452700
300A=43500
highlight%28A=145%29
Then from eq. 1,
145%2BS=744
highlight%28S=+599%29