There are three cookie bakers, Alice, Bob, and Cindy, in the village. Alice works twice as fast as Bob does, and Bob works twice as fast as Cindy does. During the past 3 hours, the three cookie bakers together made 560 cookies. How many of those cookies were made by Bob?
Call the number of cookies that Cindy can make in one hour = N
Call the number that Bob can make in one hour = 2N
And let Alice make 2 (2N) = 4N
In therr hours they can make
3 ( N + 2N + 4N) = 560
3( 7N) = 560
21N = 560 divide both sides by 21
N = 80/3
So in 3 hours Bob can make 3(2N) = 3(2* 80/3) = 2 * 80 = 160