Answer
Mrs. Ricardo receives $=\$4,000$.
Boy receives $=\$8,000$.
Girl receives $=\$2,000$.
Work Step by Step
Total amount $=\$14,000$.
Let the mother's portion be $=x$.
Condition for boy:
Boy's portion is $=2x$.
Condition for girl:
Girl's portion is $=\frac{x}{2}$.
Add all portion's
$\Rightarrow x+2x+\frac{x}{2}=\$14,000$
Simplify.
$\Rightarrow \frac{7x}{2}=\$14,000$
Multiply $\frac{2}{7}$ to both sides.
$\Rightarrow \frac{2}{7}\cdot \frac{7x}{2}=\frac{2}{7}\cdot\$14,000$
Simplify.
$\Rightarrow x=\$4,000$
Hence, Mother's portion $=\$4,000$.
Boy's portion $=2x=\$8,000$.
Girl's portion $=\frac{x}{2}=\$2,000$.
