Question

Two brothers are sharing a certain sum of money in the ratio 2/3 : 3/5, if the largest share was Gh¢500.00. How much was shared between them?​

Answer 1

Given:

Two brothers are sharing a certain sum of money in the ratio
`(2)/(3):(3)/(5)`.

The largest share was Gh¢500.00.

To find:

The total amount shared between them.

Solution:

It is given that, two brothers are sharing a certain sum of money in the ratio
`(2)/(3):(3)/(5)`.

First we need to make the denominators common.

`Ratio=(2* 5)/(3* 5):(3* 3)/(5* 3)`

`Ratio=(10)/(15):(9)/(15)`

`Ratio=10:9`

So, the two brothers are sharing a certain sum of money in the ratio 10:9.

Let the shares of two brothers are 10x and 9x respectively. So, the larger share is 10x.

It is given that the largest share was Gh¢500.00.

`10x=500`

`x=(500)/(10)`

`x=50`

Now, the total amount shared between them is:

`Total=10x+9x`

`Total=19x`

`Total=19(50)`

`Total=950`

Therefore, the total amount shared between them is Gh¢950.00.