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 $200,000, find each worker's salary.
A)president's salary = $150,000; department head's salary = $50,000
B)president's salary = $50,000; department head's salary = $150,000
C)president's salary = $15,000; department head's salary = $5000
D)president's salary = $100,000; department head's salary = $50,000

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 $200,000, so we can write an equation:
x + 3x = $200,000
Simplifying this, we get 4x = $200,000, or x = $50,000. Therefore, the department head's salary is $50,000 and the president's salary is 3x = $150,000. Choice A gives those exact salaries.

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