A 12" board is cut into 3 pieces so that the 2nd piece is twice as long as the first piece and the third piece is 3 times as long as the first piece. If x represents the length of the first piece, find the length of all 3 pieces
A 12" board is cut into 3 pieces so that the 2nd piece is twice as long as the first piece and the third piece is 3 times as long as the first piece. If x represents the length of the first piece, find the length of all 3 pieces
MarkFL2 started helping you since he hasn't been online for almost an hour, I hope it'll be okay if I try to help you too.
Since you know that sum of the lengths of all pieces is 12", and length of the second piece is 2x, and length of the third piece is 3x, x being the length of the first piece, you can write an equation $\displaystyle x+2x+3x=6x=12$, which means first piece + second piece + third piece is equal to total length (12"). Now you can try to solve this equation for x and you will get the length of the first piece and after that it will be easy to find the lengths of other pieces. I hope this helps.