Question

Im on a bit of a time crunch so please hurry :)

Answer 1

39 child tickets were sold that day

Explanation

Variables

• x: child tickets sold

,

• y: adult tickets sold

Given that four times as many adult tickets as child tickets were sold, then:

`y=4x`

If 1 child ticket cost $5.70, then x child tickets will cost 5.7x dollars.

If 1 adult ticket cost $9.20, then y adult tickets will cost 9.2y dollars.

Given that the theater sold tickets for $1657.50, then:

`5.7x+9.2y=1657.5`

Substituting the first equation into the second one and solving for x:

`\begin{gathered} 5.7x+9.2(4x)=1,657.5 \\ 5.7x+36.8x=1,657.5 \\ 42.5x=1,657.5 \\ (42.5x)/(42.5)=(1,657.5)/(42.5) \\ x=39 \end{gathered}`