Question

A total of 330 children and adults attended a school play. There were 21 times as many children in attendance as there were adults. This situation is modeled by the given system of equations, where a represents the number of adults and c represents the number of children. Based on the equations below, how many children attended the play?

Answer 1

315 Children

Explanation:

a+c=330

21a=c

Substitute the c's

a+(21a)=330

22a=330

Divide by 22 on each side

a=15

15 Adults

Now put "a" back into one of the equations.

21(15)=c

315=c

So 315 children and 15 adults.