Question

A man received 15% more than the other man when they shared an inheritance of $4,300. How much did each receive?

Answer 1

2300 is the answer i think

Answer 2

The man with the greater share receives $2,300. The other man receives $2,000.

Let us assume the man with less share gets x dollars. This is 100% of x. The man that receives 15% more then receives 115%, or 1.15x. Their total shared inheritance is $4,300. This can also be shown using their individual received portions:

`x + 1.15x = 2.15x`
Since both represent the total inheritance, they are equal. Thus, solve for x:

`2.15x = 4300 \\ (2.15x)/(2.15) = (4300)/(2.15) \\ x = 2000`

The man with the smaller share received x dollars, which can now be determined as $2,000. The man with the greater share receives 1.15x dollars, which using substitution is equal to $2,300.

To check, add the final individual shares and see if they equal the total.

`2000 + 2300 = 4300`
Since they are equal, the answer is correct.