hearnanv5a0nasepteg hearnanv5a0nasepteg
  • 08-11-2016
  • Mathematics
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your school sells tickets for its winter concert. Student tickets are $5 and adult tickets are $10. If your school sells 85 tickets and makes $600, how many of each ticket did they sell?

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scme1702
scme1702 scme1702
  • 13-11-2016
Let s be the number of student tickets and a be the number of adult tickets.
s + a = 85; a = 85 - s
Also,
5s + 10a = 600

Substituting a from the first equation
5s + 10(85 - s) = 600
-5s = -250
s = 50
a = 85 - 50 = 35
The school sold 50 student tickets and 35 adult tickets.
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