math
posted by jaime on .
jenny's company has two photocopying machines, one of which is older and slower than the other. In fact, the newer machine can put out fourthirds as many copies as the older machine in the same amount of time. If, while running at the same time, together they produce 560 copies, how many copies did each machine produce?

rate of older machine === 1 unit/unit of time
rate of newer machine === 4/3 units/unit of time
combined rate = 1 + 4/3 = 7/3 units/unit of time
(7/3)x = 560
x = 240
The slower did 240 copies
and the faster did (4/3)(240) or 320 copies