SOLUTION: 2 machines produce washers. The 1st machine can produce twice as many washers in one hour than the 2nd machine. If the 1st machine runs 2 hours and the 2nd machine runs 3 hours and

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: 2 machines produce washers. The 1st machine can produce twice as many washers in one hour than the 2nd machine. If the 1st machine runs 2 hours and the 2nd machine runs 3 hours and      Log On


   

Question 365467: 2 machines produce washers. The 1st machine can produce twice as many washers in one hour than the 2nd machine. If the 1st machine runs 2 hours and the 2nd machine runs 3 hours and 560 washers are produced, how many does each one produce in one hour?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi, 

Let x represent the number Of washers the second machine can produce in one hour

Then 2x is the number Of washers  the first machine can produce in one hour

Write as we Read

2hr *2x/hr + 3hr*x/hr = 560 washers

solve for x

4x + 3x = 560

7x = 560

x = 80, number Of washers the second machine can produce in one hour

(2*80) Or 160 is number Of washers the first machine can produce in one hour



checking our answer

2*160 + 3*80 = 560