# In a museum, the ratio of adults to children is 13 to 5. If there are 288 people in the museum, how many children are there?

Oct 27, 2016

number of children $= 80$

#### Explanation:

So, we have a ratio of 13 adults : 5 children

This means that for every $18 \left(13 + 5\right)$ people in total we have 5 children.

This can be displayed Algebraically as,

$\frac{288}{18} = \frac{x}{5}$ where x is the number of children

$x = 80$

Another way of doing this question is to find what one unit is,

$\text{number of adults"+"number of children} = 288$

$13 x + 5 x = 288$

$18 x = 288$

$x = 16$

and then multiply by ratio.

number of children = $5 x$

$= 5 \cdot 16$

$= 80$