Question

A group of 33 people attended a ball game. There were twice as many children as adults in the

group. Set up a system of equations that represents the numbers of adults and children who
attended the game and solve the system to find the number of adults and the number of children
who were in the group.

Answer 1

Answer: children = 22

Adult = 11

Explanation:

Let the number of adult be a

Since there were twice as many children as adults in the

group, the children can be represented by : 2 × a = 2a

We are further told that the group of 33 people attended a ball game. This means that :

adult + children = 33

a + 2a = 33

3a = 33

a = 11

11 adults are in the group

Since 11 adults are in the group, the number of children will be:

= 33 - 11

= 22