A board 60 in. long is cut into two parts so that the longer piece is 5 times the shorter. What are the lengths of the two pieces?

Simple... you have a board that is 60 inches long while one part is five times shorter..or as another way to see it the other part is five times bigger--->>> 5x+x=60 6x=60 x=10 Is the other piece 5 times shorter? Yes. Thus, your answer.