Question

A prize was awarded to 24 women and 1010 men.

a. What fraction of the prize winners were women?
b. What fraction were men?

Answer 1

`W = (12)/(17)` -- Women

`M = (5)/(17)` --- Men

Explanation:

Given

`Men = 10` --- not 1010

`Women = 24`

Solving (a) Fraction of Women

This is calculated as:

`W = (Women)/(Men + Women)`

Substitute values for Women and Men

`W = (24)/(10+24)`

`W = (24)/(34)`

Simplify fraction

`W = (12)/(17)`

Solving (b) Fraction of Men

This is calculated as:

`M = (Men)/(Men + Women)`

Substitute values for Women and Men

`M = (10)/(10+24)`

`M = (10)/(34)`

Simplify fraction

`M = (5)/(17)`