Question Help A 12​-foot piece of string is cut into two pieces so that the longer piece is 33 feet longer than twice the shorter piece. Find the lengths of both pieces.

(2) Answers

Let x and 12-x be the long and short pieces of the cut string. Then: x-33=2(12-x) x-33=24-2x 3x=57 x=19 12-x=-7 You have a negative piece of string


Let the length of the shorter piece of string be x.  Then the length of the longer is 2x+33 (feet). If we add these two lengths together, the resulting sum must be 12 feet (given). Thus, x + 2x + 33 (feet) = 12 (feet). 3x = -21 feet; x = -7 feet.  Obviously this is WRONG, because lengths are always positive.   Please go back and ensure that you have copied down and shared the entire problem as originally stated.

Add answer