The initial length of the blue ribbon = 1.6 meters
Explanation:
Here, according to the question:
The initial length of orange ribbon = 2 meters
Let us assume the initial length of blue ribbon = S meters
Now, the length of blue ribbon = (4/5) times the length of orange ribbon
x Length of Orange ribbon

or S = 1.6 meters
Hence, the initial length of the blue ribbon is 1.6 meters.