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Question

Sue had some blue and red beads. She sold an equal number of blue
and red beads. She had 2/5 of the blue beads and 3/4of the red beads
left. What fraction of the beads she had were not sold?

Answer

Based on the description, we can draw the above model.
It tells us that r = 3b.

So the original number is 5b + 4r = 5b + 4 x 3b = 17b.
Remaining is 2b + 3r = 2b + 3 x 3b = 11b.
So fraction not sold is 11b/17b = 11/17.

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