Question

In a singing competition, 2 out of every 5 participants are girls. If there are a total of 25 participants, how many of them are girls? Enter the answer in the box.

Answer 1

10 girls

Explanation:

We can show our ratio as a fraction:
`(2)/(5)`

Since the denominator of 5 is the total number of participants and the numberator is the # of girls in the competition, we can write another proportional ratio.

It would be:
`(x)/(25)`

`(2)/(5)`and 
`(x)/(25)` would be proportional. To solve this, we can find a number that can be multiplied, by both the numerator and the denominator, which gives a value of 25 for the denominator.

This number would be 5.

If we multiply the denomitator of
`(2)/(5)` by 5, we get 25, which is the value of the other fraction. Now, if we multiply the numerator by 5, we get 10, which is the number of girls in the competition.