SOLUTION: A furniture shop refinishes tables. Employees use one of two methods to refinish each table. Method one takes 1 hour and the material costs $10. Method 2 takes 1.5 hours, and the m

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 one takes 1 hour and the material costs $10. Method 2 takes 1.5 hours, and the m      Log On


   

Question 1079645: A furniture shop refinishes tables. Employees use one of two methods to refinish each table. Method one takes 1 hour and the material costs $10. Method 2 takes 1.5 hours, and the material costs $9. Next week, they plan to spend 202 hours in labor and $1540 in material for refinishing tables. How many tables should they plan to refinish with each method?
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let m be method 1 and n be method 2. Then:
1m+1.5n=202
10m+9n=1540
So:
10m+15n=2020
10m+9n=1540
6n=480
n=80
m=82
They should refinish 82 tables using method 1, and 80 tables using method 2. ☺☺☺☺