Given:
A sum of money is divided between A,B and C in the ratio 9:8:7.
Total sum is 480.
To find:
The part of money A get.
Solution:
Let A, B and C get 9x, 8x and 7x respectively.
Total sum is 480.
[tex]9x+8x+7x=480[/tex]
[tex]24x=480[/tex]
Divide both sides by 24.
[tex]x=\dfrac{480}{24}[/tex]
[tex]x=20[/tex]
Now,
[tex]A\ get =9x[/tex]
[tex]A\ get =9(20)[/tex]
[tex]A\ get =180[/tex]
Therefore, amount received by A is 180.