Question

A group of 45 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 children who were in the Group

Answer 1

There are 15 adults and 30 children

Explanation:

Hey there!

Setting up the system of equations

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Lets first set a variable for the children and adults

Children - x

Adults - y

x + y = 45

x = 2y

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Solving the system of equations

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We can use substitution

(2y) + y = 45

3y = 45

y = 15

This means, there are 15 adults

Now we plug in this information

x = 2y

x = 2(15)

x = 30

This means, there are 30 children

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So, there are 15 adults and 30 children