jjomalls wrote:

1) An even number of marbles, call it "N", are distributed evenly among 4 jars. These "N" marbles are then re-allocated among the jars so that they are in a ratio now of 1:6:4:8. What is the ratio of marbles moved to the original "N"? (e.g. 3/4N, 1/6N, 1/2N, etc.)

I got 9/38 too

I plugged a number that divided evenly...Assume there are 76 Marbles (I chose this because its 19*4)

Originally there were 19 in each jar.

Now there are 4, 24, 16, and 32 in jars 1,2,3 and 4 respectively.

A total of 18 marbles had to be moved to achieve the new distribution:

15 out of jar 1, of that 5 go into jar 2 and 10 into jar3

3 out of jar 2, all of which go into jar 3.

The ratio of marbles moved to total marbles is 18/76 or 9/38.