Jolene has two lengths of rope, one yellow and one white. The yellow rope is 18 inches shorter than twice the length of the white rope. If the yellow rope measures 10 1/2feet in length, how long is the white rope?

Question

18-09-2019
Mathematics

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Jolene has two lengths of rope, one yellow and one white. The yellow rope is 18 inches shorter than twice the length of the white rope. If the yellow rope measures 10 1/2feet in length, how long is the white rope?

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facundo3141592 facundo3141592 · Answer 1 · 2019-09-19T19:37:22+02:00

Answer: the length of the white rope is 77 inches.

Step-by-step explanation: The yellow rope is 18 inches shorter than twice the length of the white rope. If Y is the length of the yellow, and W the length of the white one, this can be expressed as 2*W - Y = 18 inches.

now we know that Y = 10 +1/2 feet = 10.5 feet.

and 1 feet = 12 inches, then Y= 10.5*12 = 126 inches.

putting it in the equation that we found earlier, we got 2*W - 126 = 18

then: 2*W = 126 + 18 = 144 inches

W = 144/2 = 77 inches.