SOLUTION: Total receipts from the sale of 300 tickets to a school musical were 1130. If student tickets cost $3 and adult tickets $5, how many student tickets were sold?

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Total receipts from the sale of 300 tickets to a school musical were 1130. If student tickets cost $3 and adult tickets $5, how many student tickets were sold?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 350621: Total receipts from the sale of 300 tickets to a school musical were 1130. If student tickets cost $3 and adult tickets $5, how many student tickets were sold?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let S be the number of student tickets, A the number of adult tickets.
1.S%2BA=300
2.3S%2B5A=1130
Multiply eq. 1 by (-3) and add to eq. 2,
-3S-3A%2B3S%2B5A=-900%2B1130
2A=230
A=115
Then from eq. 1,
115%2BS=300
highlight%28S=185%29