SOLUTION: A furniture shop refinishes cabinets. Employees use one of two methods to refinish each cabinet. Method I takes 1.5 hours and the material costs $10. Method II takes 2 hours, an

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A furniture shop refinishes cabinets. Employees use one of two methods to refinish each cabinet. Method I takes 1.5 hours and the material costs $10. Method II takes 2 hours, an      Log On


   

Question 1180034: A furniture shop refinishes cabinets. Employees use one of two methods to refinish each cabinet. Method I takes 1.5 hours and the material costs $10. Method II takes 2 hours, and the material costs $9. Next week, they plan to spend 288 hours in labor and $1530 in material for refinishing cabinets. How many cabinets should they plan to refinish with each method?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x Method I tables
y Method II tables


1.50 x + 2.00 y = 288.00


10.00 x + 9.00 y = 1530.00 .............2
Eliminate y
multiply (1)by -9.00
Multiply (2) by 2.00
-13.50 x -18.00 y = -2592.00
20.00 x 18.00 y = 3060.00
Add the two equations
6.50 x = 468.00
/ 6.50
x = 72.00
plug value of x in (1)
1.50 x + 2.00 y = 288.00
108.00 + 2.00 y = 288.00
2.00 y = 180.00
y = 90.00
Ans x = 72.00
y = 90.00
72.00 Method I tables
90.00 Method II tables