Question

Of the 45 members of the Henley Middle School Drama Club, 28 are girls. Which is a part-to-part ratio that describes this situation?

Answer 1

17 boys : 28 girls

Explanation:

we know that

Part-to-part ratios provide the relationship between two distinct groups

Let

x ----> the number of boys of the Henley Middle School Drama Club

y ----> the number of girls of the Henley Middle School Drama Club

we know that

`x+y=45`

`x=45-y` ----> equation A

`y=28` ----> equation B

substitute equation B in equation A and solve for x

`x=45-28=17`

therefore

There are 17 of boys and 28 girls at the Henley Middle School Drama Club

A part-to-part ratio is

17 boys : 28 girls