Question

Mega Movies hosted a film premiere on Friday night. They charged $9 for adults and $4 for children. One hundred fifty-eight adults and children attended, and $1,352 was made in ticket sales. How many children and how many adults went to the film premiere?

A.
18 children; 140 adults
B.
8 children; 150 adults
C.
14 children; 144 adults
D.
11 children; 147 adults

Answer 1

C.

14 children; 144 adults

Explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of children who went to the film premiere

y is the number of adults who went to the film premiere.

One hundred fifty-eight adults and children attended

This means that
`x + y = 158`

They charged $9 for adults and $4 for children. $1,352 was made in ticket sales.

This means that
`4x + 9y = 1352`

So

`x + y = 158`

`4x + 9y = 1352`

From the first equation

`x = 158 - y`

Replacing in the second equation

`4x + 9y = 1352`

`4(158 - y) + 9y = 1352`

`632 - 4y + 9y = 1352`

`5y = 720`

`y = (720)/(5)`

`y = 144`

`x = 158 - y = 158 - 144 = 14`

So the correct answer is:

C.

14 children; 144 adults