SOLUTION: [ A rope is 30 ft long. how can the [rope] be cut in such a way that the ratio of the resulting two segments is 3 to 5 ]

Question 816868: [ A rope is 30 ft long. how can the [rope] be cut in such a way that the ratio of the resulting two segments is 3 to 5 ]
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
a/b = 3/5
a = (3/5)b
a + b = 30
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a + b = 30
(3/5)b + b = 30
(3/5)b + (5/5)b = 30
(8/5)b = 30
b = 30(5/8)
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b = 18.75 ft
a = 11.25 ft
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