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Tickets to a school play costs $3 for students and $8 for adults. On opening night, $1000 was collected and 150 tickets sold. Set up a system of equations and solve to find out how many of each ticket
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Tickets to a school play costs $3 for students and $8 for adults. On opening night, $1000 was collected and 150 tickets sold. Set up a system of equations and solve to find out how many of each ticket type were sold.

User Jan Galinski
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1 Answer

2 votes
3S + 8A = 1000

S + A = 150 ---> A = 150 - S

3S + 8(150 -S) = 1000

3S + 1200 - 8S = 1000

1200 - 5S = 1000

-5S = -200

S = -200/-5 = 40

40 student tickets
110 adult tickets

CHECK:
40*3 + 110 * 8 = 120 + 880 = 1000
User Unex
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