Please help me find the formula to this problem

Question

the radio station spent 32,490 on salaries one month. The amount spent on announcers was 4/5 the amount spent on all other employees. Find the amount spent on announcers and onb all employees.

Answer 1

Hi Bonnie;

x=amount spent on announcers

(4/5)(x)=amount spent on all other employees

x+[(4/5)x]=32,490

Let's convert x into 1x into (5/5)x...

[(5/5)x]+[(4/5)x]=32,490

(9/5)x=32,490

Let's multiply both sides by 5/9

(5/9)(9/5)x=32,490(5/9)

x=18,050

(4/5)x=14,440

Does...

18,050+14,440=32,490

YES!