Question

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

Answer 1

Answer:

Explanation:

M÷C=4÷1

W÷C=2÷1

Conclusion: M÷W÷C=4÷2÷1

The sum of the ratios is 4+2+1=7 which means we can divide the total number into 266÷7=38 groups, each group having 1 child, 2 women and 4 men.

There will be 38×1=38 children

38×2=76 women

38×4=152 men

Note:

Another way would be to consider that 

M=4C, 

W=2C

M+W+C=4C+2C+C=7C=266.