A furniture shop refinishes cabinets. Employees use one of two methods to refinish each cabinet Method I takes 1 hour and the ma terial costs $6. Method II takes 2 hours, and the material costs $5. Next week, they plan to spend 260 hours in labor and $986 in material for refinishing cabinets. How many cabinets should they plan to refinish with each method?
2 answers:
The answer to this is 82 because it is just 82 okay yeah 82 perpooh ahh 82 82 82
Answer:
They should refinish 96 tables using method 1
They should refinish 82 tables using method 2
Step-by-step explanation:
Let
a = number of tables refinished using method 1
b = number of tables refinished using method 2
Time equation
a+2b=260 (1)
Cost equation
6a+5b=986 (2)
a+2b=260 (1)
6a+5b=986 (2)
Multiply (1) by 5 and (2) by 2
5a+10b=1,300 (3)
12a+10b=1,972 (4)
Subtract (3) from (4)
7a=672
Divide both sides by 7
a=96
Recall,
a+2b=260
96+2b=260
2b=260-96
2b=164
Divide both sides by 2
b=164/2
=82
They should refinish 96 tables using method 1
They should refinish 82 tables using method 2
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