# The ratio of boys to girls at a college is 4:5. How many boys and are there if the total num of students is girls 3321?

##### 2 Answers

boy count is 1476

#### Explanation:

There is an important difference between the way counts are viewed in ratio to that in fractions.

The ratio of boys : girls

So to change the ratio proportion into fraction proportion we have:

boys

girls

It is given that the whole is 3321 therefore the count of boys is:

An alternative interpretation of the question.

Proves that my other solution is the correct one.

#### Explanation:

There is a problem with interpreting the question part:

"the total num of students is girls 3321"

It would make more sense if worded:

My other answer assumes case 1

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Using ratio in fraction FORMAT.

Multiply both sides by 3321

This

You can not have part of a boy. So the other solution where I address Case 1 must be the correct interpreatation