SOLUTION: 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 t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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 t      Log On


   

Question 1025494: 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 $5. Next week, they plan to spend 231 hours in labor and $1026 in material for refinishing tables. How many tables should they plan to refinish with each method?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let X be the number of method I tables, Y method II tables.
1.1.5X%2B2.5Y=231<--- Hours spent
2.9X%2B5Y=1026 <--- Cost
Multiply eq. 1 by 2 and subtract from eq. 2.
9X%2B5Y-3X-5Y=1026-462
6X=564
X=94
So then,
9%2894%29%2B5Y=1026
846%2B5Y=1026
5Y=180
Y=36