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):
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 )