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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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Nov 13, 2022
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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.
Mathematics
high-school
Jan Galinski
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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
Unex
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Nov 19, 2022
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Unex
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