Question

Work out the difference between the largest share and the smallest share when 3450 yen is divided in the ratios 2:6:7

Answer 1

Given:

3450 yen is divided in the ratios 2:6:7.

To find:

The difference between the largest share and the smallest share.

Solution:

3450 yen is divided in the ratios 2:6:7. Let the shares are 2x, 6x and 7x.

`2x+6x+7x=3450`

`15x=3450`

`x=(3450)/(15)`

`x=230`

Now,

First share is

`2(230)=460`

Second share is

`6(230)=1380`

Third share is

`7(230)=1610`

Here the largest share is 1610 and the smallest share is 460. So, the difference between the largest share and the smallest share is

`1610-460=1150`

Therefore, the difference between the largest share and the smallest share is 1150 yen.