Verified Answer :

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.

calculista

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

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