SOLUTION: A department store hires 12 salesladies and 3 supervisors the total daily wages is 7020. If one saleslady is promoted to a supervisor the total daily wages is 7110. What is the dai

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A department store hires 12 salesladies and 3 supervisors the total daily wages is 7020. If one saleslady is promoted to a supervisor the total daily wages is 7110. What is the dai      Log On


   

Question 1171988: A department store hires 12 salesladies and 3 supervisors the total daily wages is 7020. If one saleslady is promoted to a supervisor the total daily wages is 7110. What is the daily wage of a saleslady?
Answer by ikleyn(52824) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x = daily wage of a saleslady and let y be daily wage of a supervisor.


Then from the condition you have this system of 2 equations in 2 unknown


    12x + 3y = 7020    (1)

    11x + 4y = 7110    (2)


To answer the problem's question, I will apply the determinant method (= the Cramer's rule)


    x = %287020%2A4+-+7110%2A3%29%2F%2812%2A4+-+11%2A3%29 = 450.



ANSWER.  The daily wage of a saleslady is 450 monetary units.

Solved.

------------------

On the Determinants' method for solving the systems of two linear equations in two unknowns see the lessons
    - Solution of the linear system of two equations in two unknowns using determinant
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Systems of two linear equations in two unknowns".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.