Question

A man divided $9,000 among his wife, son, and daughter. The wife received twice as much as the daughter, and the son received $1,000 more than the daughter. How much did each receive?

If x is the amount the wife received, then which of the following expressions represents the amount received by the son?

Answer 1

The son received $ 3000.

Step-by-step explanation:

Given,

The wife got twice as much as daughter

The son got $1000 more the daughter

The total amount of distribution is $ 9000

To find the amount received by the son

Let us take, the wife received $x

So, the daughter received = $$\frac{x}{2}$

And the son received = $$\frac{x}{2}$+1000

According to the problem

x+$\frac{x}{2}$+$\frac{x}{2}$+1000 = 9000

or, $\frac{2x}}$2x = 8000

or, x = 4000

Hence, the daughter received = $ 2000

The son received = $ 3000