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My work:

Say we had 6 red marbles in bag M. This means that bag K must have 24 red marbles. If this is the case, then we can say that 3/8=24/x

solving for x, we get 64 marbles total for bag K

if both bags were combined, then we would get 24+6 red marbles and 64+12 total marbles.

the ratio of red to total marbles is 30/76=39%

did I do this problem correctly?