Question

A group of 266 persons consist of men , women and children and there are four times as many men as children and twice as many woman as children .How many of each are there ?

Answer 1

see explanation

Explanation:

Let c represent the number of children, then

number of men = 4c and number of women = 2c

Sum the numbers of each and equate to 266

4c + 2c + c = 266, that is

7c = 266 ( divide both sides by 7 )

c = 38

Thus

4 × 38 = 152 and 2 × 38 = 76

The group consists of 38 children, 152 men and 76 women