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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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