SOLUTION: The price of concert tickets was $8 for students and $10 for nonstudents. There are 1500 tickets sold for a total of $12,300. How many student tickets were sold?

Question 204124: The price of concert tickets was $8 for students and $10 for nonstudents. There are 1500 tickets sold for a total of $12,300. How many student tickets were sold?
Found 2 solutions by rfer, Earlsdon:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
let x= students=1350 tickets sold
let y= adults=150 tickets sold
x+y=1500, x=1500-y
8x+10y=12300
8(1500-y)+10y=12300
12000-8y+10y=12300
2y=300
y=150
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let S = the number of student tickets sold. Then 1500-S = the number of non-student tickets sold.
The cost of tickets can be expressed as:
Students: $8(S)
Non-students: $10(1500-S) The sum of these two amounts is given as $12,300. In equation form, you can write:
8S+10(1500-S) = 12300 Solve for S.
8S+15000-10S = 12300
-2S+15000 = 12300 Subtract 15000 from both sides.
-2S = -2700 Divide both sides by -2
S = 1350
1,350 student tickets were sold.
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