SOLUTION: A furniture shop refinishes tables. Employees use one of two methods to refinish each table. Method I takes 0.5 hours and the material costs $8. Method II takes 1.5 hours, and t

Question 1030286: A furniture shop refinishes tables. Employees use one of two methods to refinish each table. Method I takes 0.5 hours and the material costs $8. Method II takes 1.5 hours, and the material costs $5. Next week, they plan to spend 92 hours in labor and $484 in material for refinishing tables. How many tables should they plan to refinish with each method?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of tables refinished using method 1
Let = number of tables refinished using method 2
---------------------------
(1)
(2)
----------------------
(1)
(1)
---------------------
Multiply both sides of (1) by
and subtract (2) from (1)
(1)
(2)
-----------------------

and
(1)
(1)
(1)
(1)
They should refinish 28 tables using method 1
They should refinish 52 tables using method 2
---------------------
(1)
(1)
(1)
(1)
OK
You can check (2)
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