an estate was divided Among three heirs. After Andrea received 20% of the estate, her mother received 50% of what remained, leaving $20,000 for Andreas uncle. what was the total value of the estate?
after Andrea, 80% was left
Mom got 50% of that , leaving 40%
Uncle got that
.4x = 20000
x = 20000/.4 = 50000
check: Andrea got 20% of 50000, which is 10000 leaving 40000
Mom got half of that, or 20000, leaving 20000 for uncle.
To find the total value of the estate, you can work backward from the information given.
Let's assume the total value of the estate is "X."
According to the question, Andrea received 20% of the estate. So, she received 20% of X, which is (20/100) * X = 0.2X.
Now, we need to find out how much remained after Andrea received her share. The remaining amount is (100% - 20%) = 80% of X.
Next, Andrea's mother received 50% of this remaining amount. So, she received 50% of 0.8X, which is (50/100) * 0.8X = 0.4X.
Now we know that after Andrea's mother received her share, $20,000 was left for Andrea's uncle. Thus, we can set up the equation:
0.4X - $20,000 = $20,000
To solve for X, we can add $20,000 to both sides of the equation:
0.4X = $40,000
Finally, divide both sides of the equation by 0.4 to isolate X:
X = $40,000 / 0.4
Calculating this, we find:
X = $100,000
So, the total value of the estate was $100,000.