Question

At a movie theater, an adult ticket costs $10 and a child ticket costs $6. There were 350 people at a movie showing. The revenue for that showing was $3292. How many adults were at the showing? How many children were at the showing? For this question, you will need to write a system of equations to model the problem and solve the system. You will also want to give your final answer in a complete sentence.

Answer 1

X - number of the adults, y  - number of children;
The system is:
10 x + 6 y = 3292
x + y = 350   =>   y = 350 - x
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10 x + 6 * ( 350 - x ) = 3292
10 x + 2100 - 6 x = 3292
4 x = 3292 - 2100
4 x = 1192
x = 1192 : 4
x = 298
y = 350 - 298
y = 52
Answer:
There were 598 adults and 52 children at the showing.