Solve the problem.
-The president of a certain university makes three times as much money as one of the department heads. If the total of their salaries is $170,000, find each worker's salary.
A)president's salary = $42,500; department head's salary = $127,500
B)president's salary = $85,000; department head's salary = $42,500
C)president's salary = $127,500; department head's salary = $42,500
D)president's salary = $12,750; department head's salary = $4250

Question

Quizplus · Accepted Answer

Let x be the department head's salary, then the president's salary is 3x. The total of their salaries is x + 3x = 4x, which is given to be $170,000. Solving for x, we get x = $42,500 for the department head's salary, and 3x = $127,500 for the president's salary. Thus, the correct answer is choice C. Let x be the department head's salary.
Then the president's salary is 3x.
The total of their salaries is $170,000, so we have:
x + 3x = $170,000
4x = $170,000
x = $42,500
So the department head's salary is $42,500 and the president's salary is 3 times that, or $127,500. Therefore, the answer is C.

Solve the Problem. -The President of a Certain University Makes Three Times as Three