Question

The president of a certain university receives a salary that is four times the salary of one of the department heads. The total of the two salaries is $210,000. a) What is the salary of the department head? b) What is the salary of the president of the university

Answer 1

a) The salary of the department head is $42,000

b) The salary of the president of the university $168,000

Explanation:

Given

Let x be the salary of one of the department of head

President salary is four times of one of the department of head

So
`4x` is the salary of the president.

The total of the two salary is $210,000

than
`x+4x=$210000`

`5x=210000`

`x=(210000)/(5)`

`x=42000`

salary of one of the department heads is x

Therefore the salary of one of the department heads is $42,000

president salary =
`4x`

president salary =
`4*42000`

president salary = 168000

Therefore the salary of one of the department heads is $42,000

and the salary of the President is = $168,000