Realeigh G.
asked • 12/04/22solving linear equations
A movie theater has a seating capacity of 283. The theater charges $5 for children, $7 for students, and $12 of adults. There are half as many adults as there are children. If the total ticket sales was $2,042, How many children, students, and adults attended?
children attended.
students attended.
adults attended.
More
1 Expert Answer
Raymond B. answered • 04/26/23
Tutor
5
(2)
Math, microeconomics or criminal justice
c,s, a = 5, 7, 12 dollars each
A= C/2
12A+5C+7S = 2042
6C +5C +7S = 2042
11C +7S = 2042
A+C+S = 283
S = 283-C-C/2 = 283-3C/2
11C +7(283-3C/2) = 2042
22C - 21C = 2042(2) -14(283)
C = 4084 -3962 = 122 Children
A = 61 Adults
S = 283-122-61 = 161-61 = 100 Students
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Realeigh G.
answer= adult:61 children:122 students:10012/05/22