Question

At the newest animated movie, for every 99 9 children, there are 44 4 adults. There are a total of 3939 39 children and adults at the movie. How many children are at the movie?

Answer 1

27 children.

Explanation:

We are told that at the newest animated movie, for every 9 children, there are 4 adults. There are a total of 39 children and adults at the movie.

We can see that number of children is proportional to number of adults. So we will use proportions to solve for number of children at the movie.

`\frac{\text{Number of children}}{\text{Number of children + Adults}}=(9)/(4+9)`

`\frac{\text{Number of children}}{\text{Number of children + Adults}}=(9)/(13)`

Let us substitute number of children and adults in our proportion.

`\frac{\text{Number of children}}{39}=(9)/(13)`

Multiply both side of equation by 39.

`39*\frac{\text{Number of children}}{39}=39*(9)/(13)`

`\text{Number of children}=39*(9)/(13)`

`\text{Number of children}=3*9`

`\text{Number of children}=27`

Therefore, 27 children are at the movie.