A rope is 24 feet long. It is cut into two pieces such that one piece is half the length of the other. Find the lengths of the t
wo pieces of rope. Let x = the length of the shorter piece of rope. x + (1/2)x = 24 (3/2)x = 24 (2/3)(3/2)x = (2/3)(24) x = 16 The lengths of rope are 16 feet and 8 feet. A student solves the problem to the left as shown. Which statements describe the solution? Check all of the boxes that apply. The stated solution is correct (lengths of 16 feet and 8 feet). Based on the way the variable is defined, the equation should be x + 2x = 24. The equation is written correctly, but there is an error in solving the equation. The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.
THE STATED SOLUTION IS CORRECT (LENGTHS OF 16 FEET AND 8 FEET)
BASED ON THE WAY THE VARIABLE IF DEFINED THE EQUATION SHOULD BE X+2 X=24 .
THE WAY THE VARIABLE IS DEFINED AND BECAUSE X=16 THE LONGER PIECE OF ROPE WOULD BE 32 FEET, WHICH IS NOT POSSIBLE . SO A, B, AND D ARE YOUR ANSWERS ON E20 (JUST FINISHED THE QUESTION )
