SOLUTION: A furniture shop refinishes chairs. Employees use one of two methods to refinish each chair. Method I takes 0.5 hours and the material costs $⁢8. Method II takes 22 hours,

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Question 1104015: A furniture shop refinishes chairs. Employees use one of two methods to refinish each chair. Method I takes 0.5 hours and the material costs $⁢8. Method II takes 22 hours, and the material costs $⁢7. Next week, they plan to spend 181 hours in labor and $⁢1096 in material for refinishing chairs. How many chairs should they plan to refinish with each method?
Found 2 solutions by richwmiller, josgarithmetic:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
Are you serious?! 0.5 hours vs 22 hours to make a chair?
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
I am going to assume that the dollar values given are PER CHAIR. 
           hours/chair   dollars/chair   quantity

Method 1     0.5          8               x

Method 2    22            7               y

TOTAL       181       cost: $1096

Write two equations. One to account for how many hours, and another to account for the cost of the refinishing.

Simplify and solve the system of equations for x and y.

( not yet tried to solve the system, so not know if my assumption correct. WHOLE numbers needed for result )
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