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?

Question

25364 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-06T09:37:43

You can work this with ratios

$MdivC=4div1$
$WdivC=2div1$

Conclusion: $MdivWdivC=4div2div1$

The sum of the ratios is $4+2+1=7$ which means we can divide the total number into $266div7=38$ groups, each group having 1 child, 2 women and 4 men.

There will be
$38xx1=38$ children
$38xx2=76$ women
$38xx4=152$ men

Note:
Another way would be to consider that $M=4C$ , $W=2C$
$M+W+C=4C+2C+C=7C=266$