Question

A piece of string that is 132 inches long is cut into 3 pieces. The second piece of string is twice as long as the first piece. The third piece of string is three times as long as the first piece. Find the length of the longest piece of string.
PLEASE SHOW AN EQUATION THAT YOU USED TO SOLVE THIS PROBLEM!

THANK YOU

Answer 1

Your equation is like so A x 2 x 3 = 132
A is the length of your first string B is the length of your 2nd string (A x 2) and C (3) is the length of your 3rd string which is (A x 3).
A x 2 x 3 = 132
           /3     /3
A x 2 = 44
    /2     /2
A = 22.
A(22) x 2 x 3 = 132.  22 x 2 is 44.  44 is the length of line 2.  22 x 3 is 66, 66 is the length of line 3.  22 + 44 + 66 = 132.  66 is the length of your longest piece.