Four children

A father saved a certain amount of money in the bank. He divided this amount equally among his four children. One of the daughters gave 3/7 of her share to her son and 4/9 of her share to her daughter. What fraction of the total savings did the grandson receive, and what fraction did the granddaughter receive? Who received more? (1=son, 2=daughter)

Final Answer:

s =  3/28
d =  1/9
x =  2

Step-by-step explanation:

$s=3/7\cdot 1/4=\frac{3}{28}=0.1071$

$d=4/9\cdot 1/4=\frac{1}{9}=0.1111$

$$\begin{gathered} a=s-d=0.1071-0.1111=-\frac{1}{252}\doteq -0.004 \\ d>s \\ x=2 \end{gathered}$$

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