Aman 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?

Ifx is the amount the wife received, then which of the following expressions represents the amount received by the

son?

Amount received by Aman's Wife = $4000

The expression which shows the amount received by his son = x + 10000

Step-by-step explanation:

The total amount Aman has = $9000

Let us assume the amount his daughter receives = $x

So, the amount his wife received = 2 x (Amount received by Daughter)

= 2 x ($x) = 2 x

And the amount his son received = $1000 + (Amount received by Daughter)

= 1000 x ($x) = x + 10000

According to the question:

Amount of (Daughter's + Wife's + Son's) share = $9000

x + 2x + x + 10000 = $9,000

⇒4 x = 9000 - 1000

or, 4 x = 8000

⇒ x = 8000 / 4 = 2,000

⇒ x = $2,000

So, the amount received by Aman's Wife = 2 x + 2 ($2000) = $4000

The expression which shows the amount received by his son = x + 10000