SOLUTION: A teacher has to make 159 copies of a review packet for the students in her classes. When she arrives in the workroom she starts using both copy machines(call them X and Y). During

Algebra ->  Equations -> SOLUTION: A teacher has to make 159 copies of a review packet for the students in her classes. When she arrives in the workroom she starts using both copy machines(call them X and Y). During      Log On


   



Question 232415: A teacher has to make 159 copies of a review packet for the students in her classes. When she arrives in the workroom she starts using both copy machines(call them X and Y). During the copying, machine X runs out of paper, so it only printed half as many packets as copier Y. How many copies does each machine print?

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Copier X printed HALF as many as copier Y, so Y copied TWICE as many as copier X. This might be easier, since I clears the fractions:

Y=2X,
X+Y= 159

Substitute Y=2X into the second equation:
X+2X=159
3x=159
x=53
Y=2X
Y=2*53
Y=106

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus