Answer:
$335,500
$182,750
$167,750
Step-by-step explanation:
Let the amount received by the eldest sibling be A , the middle sibling be B and the youngest sibling be C.
Given
The eldest A received two times as the youngest C.
That’s
A = 2C
Also,the middle sibling received $15000 more than the youngest .
That’s
B = C + $15000
Therefore,
A + B + C = $686000
We now have three expressions
A = 2C
B = C + 15000
A + B + C = 686000
Substitute the first two expressions or values of A and B into the third expression
We have
2C + C + 15000 + C =686000
Rearrange the expression as
2C + C + C + 15000 =
4C + 15000 = 686000
Subtract 15000 from both sides
4C + 15000 - 15000 = 686000 - 15000
4C = 671000
Divide both sides by by 4
C = 671000/4
C = 167750
C = $167,750
The youngest sibling received $167,750
Recall,
A = 2C
Therefore
A = 2 x $167,750
A = $335,500
The eldest sibling received
$335,500
Also,
B = C + $15000
B = $167,750 + $15000
B = $182,750
The middle sibling received $182,750
The eldest sibling received $335,500
The middle sibling received $192,750 and
The youngest sibling received $167,750
