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A rope of 40 feet long is cut into two pieces. If one piece is 18 feet longer than the other, what is the length, in feet, of the shorter piece?

A rope of 40 feet long is cut into two pieces. If one piece is 18 feet longer than the other, what is the length, in feet, of the shorter piece? Correct Answer 11

Let x = the length of the shorter piece So, x + 18 = the length of the longer piece Since the lengths of the two pieces must add to 40 feet, we can write: x + (x + 18) = 40 = > 2x + 18 = 40 = > 2x = 40 - 18 = > 2x = 22 ∴ x = 11 

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