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.Com
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(52776)   (Show Source): You can put this solution on YOUR website!
.
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.


RELATED QUESTIONS

A furniture shop refinishes tables. Employees use one of two methods to refinish each... (answered by Fombitz)
A furniture shop refinishes tables. Employees use one of two methods to refinish each... (answered by josmiceli)
A furniture shop refinishes tables. Employees use two methods to refinish tables. Method... (answered by josgarithmetic)
A furniture shop refinishes tables. Employees use one of two methods to refinish each... (answered by jorel555)
A furniture shop refinishes tables. Employees use one of two methods to refinish each... (answered by ikleyn)
A furniture shop refinishes tables. Employees use one of two methods to refinish each... (answered by jorel1380)
A furniture shop refinishes tables. Employees use two methods to refinish tables. Method... (answered by jorel1380)
A furniture shop refinishes cabinets. Employees use one of two methods to refinish each... (answered by mananth)
A furniture shop refurnishes tables. Employees use 1 of two methods to refinish each... (answered by jim_thompson5910,Theo)