Aman bought a length of rope at the hardware store. he used 1/4 of it to make a bow painter (a rope located at the front of the canoe) for his canoe and then used 1/3 of the remaining piece to tie up a roll of carpet he now has 24 ft of rope left. what was the length of the rope he had originally purchased?

Answer-

He purchased a rope of 48 ft.

Solution-

Let us assume the length of the rope he had originally purchased was x ft.

He used one-fourth of the x to make a bow, so the rope he used was

The amount he left with was,

Then he used one-third of the remaining to tie up a roll of carpet, so the rope he used was

Then he left with 24 ft of rope.

∵ The total amount = Amount used + Amount left

Hence,

Therefore, he purchased a rope of 48 ft.

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