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?

see explanation

Step-by-step 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