This is way too confusing Luke has a bag of 70 colored marbles. The bag has an equal number of green and blue marbles and an equal number of red and yellow marbles. If Luke arranged all of the green marbles in groups of 8 and all of the blue marbles in groups of 6, how many yellow marbles are in the bag?

Hi there!

Alright, so Luke has a total of 70 marbles. We know that there are an equal number of green and blue marbles and also an equal number of red and yellow marbles. Luke has green marbles in groups of 8 and blue marbles in groups of 6. He has the same amount of blue and green marbles, so we need to figure out how to get the marbles to the same number. To do this, we can multiply 8 and 6 together. This gives us that Luke has 48 green and blue marbles. Now, we can subtract 48 from 70 to get 22 marbles left. Lastly, we can divide 22 by 2 since he has an equal number of red and yellow marbles, which is all that is left. 22 divided by 2 equals 11, which means that Luke has 11 yellow marbles.

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