Problema Solution
The president of a certain university receives a salary that is three times the salary of one of the department heads. The total of the two salaries is $190,000.
What is the salary of the president of the university?
Answer provided by our tutors
We will use the following variables:
'p' will represent the salary of the president
'd' will represent the salary of the department heads
The president receives a salary 3 times the salary of the department heads, meaning:
p = 3d
Since the total of the two salaries is $190,000 we can write:
p + d = 190,000
Now we can solve the following system of equations:
p = 3d
p + d = 190000
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d = $47,500
p = $142,500
The president earns $142,500 and the department head earns $47,500.