Answer:
C.
14 children; 144 adults
Step-by-step 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 [tex]x + y = 158[/tex]
They charged $9 for adults and $4 for children. $1,352 was made in ticket sales.
This means that [tex]4x + 9y = 1352[/tex]
So
[tex]x + y = 158[/tex]
[tex]4x + 9y = 1352[/tex]
From the first equation
[tex]x = 158 - y[/tex]
Replacing in the second equation
[tex]4x + 9y = 1352[/tex]
[tex]4(158 - y) + 9y = 1352[/tex]
[tex]632 - 4y + 9y = 1352[/tex]
[tex]5y = 720[/tex]
[tex]y = \frac{720}{5}[/tex]
[tex]y = 144[/tex]
[tex]x = 158 - y = 158 - 144 = 14[/tex]
So the correct answer is:
C.
14 children; 144 adults
