The initial length of the blue ribbon = 1.6 meters
Step-by-step 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
[tex]\implies S =( \frac{4}{5})[/tex] x Length of Orange ribbon
[tex]\implies S = (\frac{4}{5}) \times 2 = 1.6[/tex]
or S = 1.6 meters
Hence, the initial length of the blue ribbon is 1.6 meters.