SOLUTION: A rope which is 200 meter long is cut into two parts such that one part is 12 cm. longer than the other.How long is each part?

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Question 207126: A rope which is 200 meter long is cut into two parts such that one part is 12 cm. longer than the other.How long is each part?
Answer by Theo(13342) (Show Source):
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rope is 200 meters long.
1 centimeter = 1 meter divided by 100 = .01 * meter
12 centimeters * .01 = .12 meters.
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rope is divided into 2 parts.
1 part is .12 meters longer than the other part.
the sum of the 2 parts is equal to 200 meters.
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let x = length of one part.
let x + .12 = length of the other part.
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x + x + .12 = 200
2x + .12 = 200
subtract .12 from both sides of the equation to get
2x = 200 - .12 = 199.88
divide both sides of equation by 2 to get:
x = 199.88 / 2 = 99.94 meters.
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1 part is equal to x which is equal to 99.94 meters.
the other part is equal to x + .12 = 99.94 + .12 = 100.06
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100.06 + 99.94 = 200 meters
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your answer is:
the shorter part is 99.94 meters long
the longer part is 100.06 meters long.
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