A 33​-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first​ piece, and the third piece is one inch more than five times the length of the first piece.

Answer 1

Let "x" be the first piece. We ar told the 2nd piece is twice as long as that, so it would be "2x". We are also told that the 3rd piece is 1 inch more than 5 times the first piece. 5 times the first piece is '5x" and 1 inch more than that is "5x + 1"

So the 3 pieces are "x", "2x", and "5x + 1" and they add up to 33. Can you figure out how to combine that together to form the equation you would use to solve the problem?

The solve the equation by combining like-terms and simplifying.