Question 1024174: The jazz band sold tickets for a concert. Adults paid $10 apiece, students paid $5 apiece and seniors paid $6 apiece. A total of 1129 tickets were sold at the concert. If there was 1 more student than adults and seniors combined, and the total income for the concert is $8257, how many of each kind of ticket was sold at the concert ?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The jazz band sold tickets for a concert. Adults paid $10 apiece, students paid $5 apiece and seniors paid $6 apiece. A total of 1129 tickets were sold at the concert. If there was 1 more student than adults and seniors combined, and the total income for the concert is $8257, how many of each kind of ticket was sold at the concert ?
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Quantity:: a + t + s = 1129 tickets
Value:: 10a + 5t + 6s = 8257 dollars
Quantity::: t = a+s + 1
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Rearrange::
a + t + s = 1129
10a + 5t + 6s = 8257
a - t + s = -1
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Solve the system be any means you know to get:
a = 512 (# of adult)
t = 565 (# of student)
s = 52 (# of senior)
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Cheers,
Stan H.
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