#### There are 100 number of members which include womens , mens and children. Then if the mangoes will distributed as 10 for mens and 3 for women and half for child. then what will be the no of men women and children?

$\begin{array}{l}\text{Find the ratio of the mangoes distributed among the 3 groups:}\\ Children:Women:Men=\frac{1}{4}:2:4\\ \text{Multiply by 4:}\\ Children:Women:Men=1:8:16\\ \\ \text{Find the mangoes for 1 part:}\\ Total\ parts=1+8+16\\ \text{Total parts}=25\\ 25\ parts=100\ mangoes\ \\ 1part=100\div25\\ 1part=4mangoes\ \\ \\ \text{Find the share for each group:}\\ Child=1part\ \\ Child=4mangoes\ \\ Women=8parts\\ Women=32mangoes\ \\ Men=16parts\ \\ Men=16\times4\\ Men=64mangoes\ \\ \\ \text{Find the number of each group}\\ Children=4mangoes\ \\ Number\ of\ children=4\times4\\ Women=32mangoes\ \\ Number\ of\ women=32\div2\\ Number\ of\ women=16\\ Men=64mangoes\ \\ Number\ of\ men=64\div1\\ Number\ of\ men=64\\ \\ \text{There are 16 children, 16 women and 64 men.}\end{array}$