Question

There are 12 more girls than boys in a drama club. The ratio of girls to boys is 9:5. How many girls and how many boys are in the drama club

Answer 1

27 girls and 15 boys

Explanation:

To solve this, I just used guess and check.

9:5 is a ratio, which means we can multiply each side by any number as long as we do it to both sides.

If we multiply the ratio by 3, we get (9 x 3) : (5 x 3) which is 27:15

And as it turns out, 27-15 is 12, which in this context means there are 12 more girls in drama club, so it works out.

Answer 2

Explanation:

boys:= x

girls:= x + 12

x/(x + 12) = 5/9 The 9 goes with the girls. There are more of them.

9x = 5(x+12) The step was cross multiply.

9x = 5x + 60 Subtract 5x from both sides

4x = 60 Divide by 4

4x/4 = 60/4

x = 15

Boys = 15

girls = 15 + 12 = 27