Question

A Woman LEFT 8,500

TO BE SHARED AMONG
HER SON AND THREE
DAUGHTER EACH DAUGHTER
SHARE WAS 3/4 OF THE SOn
SHARE
How much DID SON RECIEVED​

Answer 1

The son received 2,615.38.

Explanation:

In order to know how much the son received, it is best to use algebraic expressions in finding the children's individual shares.

Let x be the son's share and
`(3x)/(4)` be the share of each daughter.

The equation will be: 8,500 = x +
`(3x)/(4)` +
`(3x)/(4)` +
`(3x)/(4)`

Next step is: 8,500 =
`(3x+3x+3x+4x)/(4)`

8,500 =
`(13x)/(4)`

8,500 × 4 = 13x

34,000 = 13x

`(34,000)/(13)` = x

x = 2,615.38

The son received 2,615.38

Let's get the share of each daughter:

`(3x)/(4)` =
`((3)(2,615.38))/(4)` = 1,961.54

Each daughter will receive 1,961.54

Let's check: 2,615.38 + 1,961.54 + 1,961.54 + 1,961.54 = 8,500