Question

An estate valued at $75,000 is divided among three daughters. In the ratio 5:8:2 respectively. Calculate the amount each receives

Answer 1

To divide the estate valued at $75,000 among three daughters in the ratio 5:8:2 respectively, the first daughter receives $25,000, the second daughter receives $40,000, and the third daughter receives $10,000.

Step-by-step explanation:

To divide the estate valued at $75,000 among three daughters in the ratio 5:8:2 respectively, we need to determine the total value of the ratio shares. The total value of the ratio shares is 5 + 8 + 2 = 15.

To calculate the amount each daughter receives, we divide the estate value by the total value of the ratio shares and multiply it by the respective ratio:

1. First daughter: (5/15) * $75,000 = $25,000
2. Second daughter: (8/15) * $75,000 = $40,000
3. Third daughter: (2/15) * $75,000 = $10,000

Answer 2

If the ratio is 5:8:2, then we have altogether 15 parts of the value (because 5 + 8 + 2 = 15). First of all we need to find out how much is one part of the value, so we have to divide $75,000 by 15.

$75,000 ÷ 15 = $5000

The first daughter will get 5 * $5,000 = $25,000
The second daughter will get 8 * $5,000 = $40,000
The third daughter will get 2 * $5,000 = $10,000

$25,000 + $40,000 + $10,000 = $75,000, so it's correct :)