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A man bought a length of rope at the hardware store. He used one-third of...

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A man bought a length of rope at the hardware store. He used one-third of it to make a bow painter (a rope located at the front of the canoe) for his canoe and then used one-fourth of the remaining piece to tie up a roll of carpet. He now has 24 feet of rope left. What was the length of the rope he had originally purchased? Since it is often helpful to visualize a problem, obtain your answer pictorially by adding additional marks and labels to the following drawing. He had originally purchased (Type an integer or a simplified fraction.) feet of rope.

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