Caselet

A survey covered 400 people. The ratio of men to women was 3 : 2. Half of the men and one-fourth of the women owned a car.

Question

What percentage of the people surveyed owned a car?

Table built from the caselet

Solution

1. Men = 3 / 5 x 400 = 240 and women = 2 / 5 x 400 = 160.
2. Men owning a car = 240 / 2 = 120; women owning a car = 160 / 4 = 40.
3. Total car owners = 120 + 40 = 160.
4. Percentage = 160 / 400 x 100 = 40%.