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 $\dfrac{2}{3}:\dfrac{3}{5}$.

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 $\dfrac{2}{3}:\dfrac{3}{5}$.

First we need to make the denominators common.

$Ratio=\dfrac{2\times 5}{3\times 5}:\dfrac{3\times 3}{5\times 3}$

$Ratio=\dfrac{10}{15}:\dfrac{9}{15}$

$Ratio=10:9$

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.

$10x=500$

$x=\dfrac{500}{10}$

$x=50$

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.