Question

A movie was attended by 500 people. Adults paid $10 each and children paid $4 each. The total amount taken in was $4160. Let x represent the number of adults that attended and y represent the number of children that attended. Which system of equations could be solved to determine how many children attended?

Answer 1

1. The total number of people who attended the movie was 500:

\[x + y = 500\]

2. The total amount taken in from adults and children was $4160:

\[10x + 4y = 4160\]

In these equations, \(x\) represents the number of adults who attended, and \(y\) represents the number of children who attended. The first equation represents the total number of people who attended, and the second equation represents the total amount collected from the adults and children.

Now, you can solve this system of equations to determine how many children attended the movie.