SOLUTION: A furniture shop refinishes tables. Employees use two methods to refinish tables. Method I takes 0.5 hours and the material costs $10. Method II takes 2.0 hours, and the materia

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: A furniture shop refinishes tables. Employees use two methods to refinish tables. Method I takes 0.5 hours and the material costs $10. Method II takes 2.0 hours, and the materia      Log On


   

Question 1143540: A furniture shop refinishes tables. Employees use two methods to refinish tables. Method I takes 0.5 hours and the material costs $10. Method II takes 2.0 hours, and the material costs $4. Next week, they plan to spend 85 hours in labor and $476 in material for refinishing tables. How many tables should they plan to refinish with each method?
Answer by ikleyn(52903) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x= the number of tables by Method I and y = the number of tables by Method II.


The condition / (assumption) that all resources are used, gives these two equations


    0.5x + 2y =  85      (hours used)     (1)

     10x + 4y = 476      (money used)     (2)


Solve it by the Elimination method to get the 


Fortunately, it has the solution in integer numbers.


ANSWER.   x= 34 tables by the Method I  and  y= 34 tables by the Method II.

Solved.