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.

c = 21a

a + c = 330

How many children attended the play?

Question

Mathematics

Shawn

1 October, 13:01

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.

c = 21a

a + c = 330

How many children attended the play?

+4

Answers (1)

Know the Answer?

Trenton · Answer 1

315 children

Step-by-step explanation:

a + 21a = 330 {substituted 21a, in for c, into second equation}

22a = 330 {combined like terms}

a = 15 {divided each side by 22}

15 adults attended

c = 21a {first original equation}

c = 21 (15) {substituted 15,