Question

Mr. Hughes gave 5/14

Answer 1

Answer:

His savings were of $4,200.

Step-by-step explanation:

Mr. Hughes gave 5/14 of his savings to his son, 2/3 of the remainder to his daughter, and the rest to his wife:

This means that the son and daughter amount is:

$\frac{5}{14} + \frac{2}{3}(\frac{9}{14})$

As $\frac{9}{14}$ is the remained that his son did not get. So

$\frac{5}{14} + \frac{2}{3}(\frac{9}{14}) = \frac{15}{42} + \frac{18}{42} = \frac{33}{42}$

Fraction his wife got:

$1 - \frac{33}{42} = \frac{42}{42} - \frac{33}{42} = \frac{9}{42}$

If his wife got $900, what were his savings?

Total savings are x, wife got $\frac{9}{42}$ of x. So

$\frac{9x}{42} = 900$

$9x = 900*42$

$x = \frac{900*42}{9}$

$x = 100*42$

$x = 4200$

His savings were of $4,200.