Child's tickets to the show cost $7.50, half the price of adult ticket. I purchase 18 tickets for a total price of $180. How many were adult tickets and how many were child's tickets?
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Let number of Adult tickets sold be x
number of student tickets sold be y
Adult ticket costs $ 5, student ticket costs $ 3, Total collected $460,
5x+3y= 460......eq 1
Total number of tickets sold = 120 so
x+y=120, Multiply eq by 3, we get 3x+3y=360, subtract it from eq 1
5x+3y=460
-3x-3y=-360
we get,
2x = 100
x=50
x+y = 120, x= 50 so y=70
No of Adult tickets sold = 50, No of Student tickets sold = 70
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