SOLUTION: A movie theater sold a total of 260 adult and child tickets on a certain day. The theater sold 2.25 times as many adult tickets as child tickets. Each adult ticket cost $9 and each

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Question 831515: A movie theater sold a total of 260 adult and child tickets on a certain day. The theater sold 2.25 times as many adult tickets as child tickets. Each adult ticket cost $9 and each child ticket cost $4. How much revenue did the theater generate in ticket sales that day?
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
A = 2.25C (The theater sold 2.25 times as many adult tickets as child tickets.)
A + C = 260
Substitute the value of A
2.25C + C = 260
Add
3.25C = 260
Divide each side by 3.25
C = 80
.
If 80 children's tickets were sold, how many adult tickets?
A = 2.25C
2.25*80 = 180
.
Revenue:
80 children's tickets at $4 apiece (what a bargain!) = $320
180 adult tickets at $9 = $1620
Total gross sales = $320 + $1620 = $1940 <<--