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 $190,000, find each worker's salary.
A)president's salary = $47,500; department head's salary = $142,500
B)president's salary = $142,500; department head's salary = $47,500
C)president's salary = $95,000; department head's salary = $47,500
D)president's salary = $14,250; department head's salary = $4750

Question

Quizplus · Accepted Answer

Let x be the department head's salary. Then the president's salary is 3x. We set up the equation: x + 3x = 190,000. Simplifying, we get 4x = 190,000. Solving for x, we get x = 47,500. Therefore, the department head's salary is $47,500 and the president's salary is 3x or $142,500, which is choice B. Let x be the salary of the department head. Then the salary of the president is 3x.
According to the problem, their total salary is $190,000, so we can write an equation:
x + 3x = 190,000
Simplifying the expression, we have:
4x = 190,000
x = 47,500
Therefore, the salary of the department head is $47,500 and the salary of the president is 3x = 3(47,500) = $142,500. Thus, option B is the correct choice.

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