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?

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

Step-by-step explanation:

A man divided $9,000 among his wife, son and daughter.

The wife received twice as much as the daughter.

Let the daughter received d amount.

Then the wife received = 2d

and son received $1,000 more than the daughter.

The son received the amount = 1000+d

So the expression will be = d + 2d +(1000+d) = 9,000

3d + (1000+d) = 9000

4d = 9000 - 1000

4d = 8000

d =  

d = 2000

Daughter received $2,000

Wife received 2d = 2 × 2000 = $4,000

Son received 1000 + d = 1000 + 2000 = $3,000

If x is the amount the wife received, then the expression represents the amount received by the son :

S = 1000 + (x/2)

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: