Question

An estate of $613,000 is left to three siblings. The eldest receives 2 times as much as the youngest. The middle sibling receives $16,000 more than the youngest.

How much did each receive?
The eldest sibling received $
the middle sibling received $
and the youngest sibling received$

Answer 1

Eldest: $298500

Middle: $165250

Youngest: $149250

Step-by-step explanation:

We can show the siblings like this:

e=2y (eldest)

m=16000+y (middle)

To find the value of y, or the youngest sibling, we use an equation.

2y+16000+y+y=613000

Simplify:

4y+16000=613000

Subtract 16000 on both sides:

4y=597000

Divide both sides by 4:

y=149250

The youngest received $149250.

Knowing this, we can plug in the numbers into the original formulas:

e=2(149250)=298500 ...or $298500

m=16000+149250=165250 ...or $165250

y=149250 ...or $149250

Add all those numbers up, and you reach $613000.