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The question is not clear but after copy and paste you get the values:
A furniture shop refinishes tables. Employees use one of two methods to refinish each table. Method I takes 1.5 hours and the material costs $9. Method II takes 2.5 hours, and the material costs $4. Next week, they plan to spend 181 hours in labor and $580 in material for refinishing tables. How many tables should they plan to refinish with each method?
Let x be the number of tables finished with method 1 and y be the number of tables finished with method 2.
9x +4y = 580
9((181-2.5y)/1.5)) +4y =580
To simplify divide the 9 with 1.5. You get 6. Therefore it becomes
6(181-2.5y) +4y =580
- 15y + 4y =580
Use the value to find the value of x
1.5x +115 =181
1.5x = 66
So they should make 44 tables using method 1 and 46 tables using method 2.
Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 28th, 2015
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