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.
x - number of the adults, y - number of children; The system is: 10 x + 6 y = 3292 x + y = 350 => y = 350 - x ---------------------- 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.
