The president of Texas state University makes three times as much money as one of the department heads. If the total of their salaries is 290,000, find each worker's salary.
if the dept head makes x, then
x + 3x = 290000
4x = 290000
x = 72500
That helped a lot Steve. Thank you.
To find each worker's salary, let's assign variables to represent the salaries. Let's say the department head's salary is "D," and the president's salary is "P." We can now set up two equations based on the given information.
First, we know that the president's salary is three times that of the department head. Hence, we can write the equation:
P = 3D
Second, we know that the total of their salaries is $290,000. We can express this information in another equation:
P + D = 290,000
Now we have a system of equations:
P = 3D (Equation 1)
P + D = 290,000 (Equation 2)
To solve this system, we can substitute the value of P from Equation 1 into Equation 2:
3D + D = 290,000
4D = 290,000
D = 290,000 / 4
D = 72,500
Now that we have the value of D, the department head's salary is $72,500.
To find the president's salary, we substitute this value back into Equation 1:
P = 3D
P = 3 * 72,500
P = 217,500
Therefore, the department head's salary is $72,500, and the president's salary is $217,500.