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 $105,000.

b. The salary of president is $420,000.

Step-by-step explanation:

Let,

x be the salary of president.

y be the salary of head of department.

According to given statement;

x=4y

a) What is the salary of the department head?

Salaries of two heads of department = $210000

$2y=210000$

Dividing both sides by 2;

$\frac{2y}{2}=\frac{210000}{2}\\y=105000$

The salary of the department head is $105,000.

b) What is the salary of the president of the university?

x=4y

$x=4(105000)\\x=420000$

The salary of president is $420,000.

Keywords: Division, multiplication

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