From a piece of wire, 85% was cut, and then another 25% of the remainder.

From a piece of wire, 85% was cut, and then another 25% of the remainder. After that, 6m of wire remained. How many meters of wire were in the piece originally?

First, we will find a part of the whole piece of wire, when there are 6 meters left.

1) 100 – 25 = 75 = 0.75 – 6 meters of wire left.

Next, we calculate the number of meters of wire when 85 percent was cut off.

2) 6 * 0.75 = 8 (meters) – left. after 85 percent cut.

Now we will find a part from a piece of wire equal to 8 meters.

3) 100 – 85 = 15 = 0.15 is a fraction of a piece. equal to 8 meters.

Now we will find the length of the wire, which was originally.

4) 8: 0.15 = 53.3 (meters) – it was originally in the piece.

Answer: the piece originally contained 53.3 meters of wire.