Question

A certain amount of money is shared in the ratio 2:3:9. If the difference between the first and the second shares $40, what is the amount of money

Answer 1

Answer:

$600

Step-by-step explanation:

let constant be 'x'

3x - 2x = $40 => x = $40

amount = 15x = 15×40 = $600

Answer 2

The amount of money is $560.

Step-by-step explanation:

Since we have given that

Ratio of money is shared in 2:3:9

Difference between the first and second shares = $40

First part of money be 2x.

Second part of money be 3x

Third part of money be 9x.

According to question, it becomes,

$3x-2x=40\\\\x=40$

So, the amount of money would be

$2x+3x+9x=14x=14\times 40=\ 560$

Hence, the amount of money is $560.