Question

A group of 266 persons consists of men,women,and children and there are four times as many men as children and twice as many women as children how many each are there?

Answer 1

• 152 men
• 76 women
• 38 children

Explanation:

The ratios given are ...

men : women : children = 4 : 2 : 1

The total number of ratio units is 4+2+1 = 7, so each unit stands for 266/7 = 38 persons.

Then the numbers of each were ...

men : women : children = 4·38 : 2·38 : 1·38 = 152 : 76 : 38

There were 152 men, 76 women, and 38 children.