Question

There are 32 female performers in a dance recital. The ratio of men to women is 3:8. How many men are in the dance recital?

Answer 1

Let

x------> number of men in the dance recital

y------> number of women in the dance recital

we know that

$\frac{x}{y} =\frac{3}{8}$ -------> equation $1$

$y=32$ -------> equation $2$

Substitute equation $2$ in equation $1$

$\frac{x}{32} =\frac{3}{8} \\\\ x=\frac{32*3}{8}$

$x=12\ men$

therefore

the answer is

There are $12\ men$ in the dance recital

Answer 2

3:8
x4

12:32

The answer is 12 men.

Since the ratio is 3 men to 8 women, and there Are 32 WOMEN, WE NEED TO MULTIPLY BOTH SIDES OF THE RATIO BY 4 FOR OUR RATIO TO BE EQUAL TO OUR OLD RATIO. 3X4=12 AND 8X4=32. THIS RATIO IS TELLING US THAT IF THERE ARE 32 WOMEN, THERE WILL BE 12 MEN.

THERE ARE 12 MEN IN THE DANCE RECITAL.