Question

mary has 17 m of rope. She wishes to cut it in three pieces so that she has 3 m more than amanda, and amanda has 2 m less than Sarah.

Answer 1

Length of Sarah rope = 6 m

Length of Amanda's rope = 4 m

Length of Mary's rope = 7 m

Explanation:

Let the length of Sarah rope = x

Length of Amanda's rope= x - 2

Length of Mary's rope = (x - 2 ) + 3 = x - 2 + 3 = x + 1

Length of rope = 17 m

x + x - 2 + x + 1 = 17

Combine like terms

x + x + x - 2 + 1 = 17

3x - 1 = 17

Add 1 to both sides

3x = 17 + 1

3x = 18

Divide both sides by 3

x = 18/3

x = 6

Length of Sarah rope = x = 6 m

Length of Amanda's rope= x - 2 = 6 - 2 = 4 m

Length of Mary's rope = x + 1 = 6 + 1 = 7 m