Mathematics
gustavo2
47

A 14​-foot piece of string is cut into two pieces so that the longer piece is 2 feet longer than twice the shorter piece. If the shorter piece is x feet​ long, find the lengths of both pieces.

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(2) Answers
Britishchick0

We are given that the shorter piece is x From your description, the longer piece is 2x + 2 The total length is x + 2x + 2 = 14 ie 3x + 2 = 14 3x = 12 x = 4 So the length of the shorter piece is 4 ft Therefore the length of the longer piece must be (14 - 4) ft = 10 ft

Hanington955

x = shorter piece y = longer piece x + y = 14 y = 2x + 2 x + (2x + 2) = 14 3x + 2 = 14 3x = 14 - 2 3x = 12 x = 12/3 x = 4.......shorter piece (x) is 4 ft y = 2x + 2 y = 2(4) + 2 y = 8 + 2 y = 10...longer piece (y) is 10 ft

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