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?

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.

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calculista calculista · Answer 2 · 2018-08-29T21:57:27-04:00

Let

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

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

we know that

[tex] \frac{x}{y} =\frac{3}{8} [/tex] -------> equation [tex] 1 [/tex]

[tex] y=32 [/tex] -------> equation [tex] 2 [/tex]

Substitute equation [tex] 2 [/tex] in equation [tex] 1 [/tex]

[tex] \frac{x}{32} =\frac{3}{8} \\\\ x=\frac{32*3}{8} [/tex]

[tex] x=12\ men [/tex]

therefore

the answer is

There are [tex] 12\ men [/tex] in the dance recital