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

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(52832) (Show Source): You can put this solution on YOUR website!
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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 =  = 450.



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

Solved.

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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".

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Free of charge online textbook in ALGEBRA-I
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to your archive and use it when it is needed.

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