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

Respuesta :

Answer:

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

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

Step-by-step 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 [tex]4x[/tex] is the salary of the president.

The total of the two salary is $210,000

than [tex]x+4x=$210000[/tex]

[tex]5x=210000[/tex]

[tex]x=\frac{210000}{5}[/tex]

[tex]x=42000[/tex]

salary of one of the department heads is x

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

president salary = [tex]4x[/tex]

president salary = [tex]4\times42000[/tex]

president salary = 168000

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

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