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

There are `12` men in the dance recital.

Explanation:

As the ratio of men to women `3:8`, if there are `3x` men, there are `8x` women.

But we have 32 female performers in the dance recital.

Hence `8x=32`. Now multiplying both sides by `1/8`, we have

`8x xx1/8=32xx1/8` or

`cancel(8)x xx1/cancel8=4cancel(32)xx1/cancel8`

or `x=4`

Hence there are `3xx4=12` men in the dance recital.