Question

A machine cuts a strip of carpet into two pieces. The length of the smaller piece is 5 meters greater than 1 4th the length of the larger piece. If the length of the smaller piece is 12meters, the length of the bigger piece is how many meters?

Answer 1

12 = (1/4)l + 5

(1/4)l = 7

l = 28 meters

The length of the larger piece is 28 meters, and so the length of the carpet is 28 + 12 = 40 meters.