Given:
Two brothers are sharing a certain sum of money in the ratio [tex]\dfrac{2}{3}:\dfrac{3}{5}[/tex].
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 [tex]\dfrac{2}{3}:\dfrac{3}{5}[/tex].
First we need to make the denominators common.
[tex]Ratio=\dfrac{2\times 5}{3\times 5}:\dfrac{3\times 3}{5\times 3}[/tex]
[tex]Ratio=\dfrac{10}{15}:\dfrac{9}{15}[/tex]
[tex]Ratio=10:9[/tex]
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.
[tex]10x=500[/tex]
[tex]x=\dfrac{500}{10}[/tex]
[tex]x=50[/tex]
Now, the total amount shared between them is:
[tex]Total=10x+9x[/tex]
[tex]Total=19x[/tex]
[tex]Total=19(50)[/tex]
[tex]Total=950[/tex]
Therefore, the total amount shared between them is Gh¢950.00.
