Answer:
Eldest: $335,500 Middle: $182,750 Youngest: $167,750
Step-by-step explanation:
Let's represent the amount of money the youngest sibling received as x.
The amount the eldest received can be represented as: 2x
The amount the middle sibling received can be represented as: x + 15,000
If we combined the amount of money that all of the siblings received, it would be $686,000. We can write this as an equation:
686,000 = 2x + (x + 15,000) + x
Now let's solve for x. First, combine like terms
686,000 = 4x + 15,000
Subtract 15000 from both sides to isolate the 4x
671,000 = 4x
Divide both sides by 4 to isolate the x
167,750 = x
Now we know that the amount of money the youngest received is $167,750. We can use this amount to figure out how much the other two siblings received.
Eldest: 2 * 167,750 = $335,500
Middle: 167,750 + 15,000 = $182,750
We can check to make sure these answers are correct by adding them all together to make sure that they equal 686,000
167,750 + 335,500 + 182,750 = 686,000
