Answer:
A - 1.6 meter and B - 0.40 meter
Step-by-step explanation:
Given:
The orange ribbon was 2 meters long.
The blue ribbon was 4/5 as long as the orange ribbon.
Linda cut off a piece of the blue ribbon.
The length of the cut piece was 25% of the length of the blue ribbon.
To find:
A) What was the length of the blue ribbon before it was cut?
B) Find the length of the piece of the blue ribbon that Linda cut off.
Solution:
Length of orange ribbon = 2 m
Length of blue ribbon = [tex]\frac{4}{5} \times2 =\frac{8}{5}[/tex] (given)
As the length of the cut piece was 25% of the length of the blue ribbon,
Therefore the length of the cut piece = [tex]\frac{8}{5} of 25\%[/tex]
= [tex]\frac{8}{5} \times\frac{25}{100} = \frac{200}{500} = 0.40[/tex] meter
Therefore, A : The length of the blue ribbon before it was cut is [tex]\frac{8}{5}[/tex] meter that is 1.6 meter
B : The length of the piece of the blue ribbon that Linda cut off is 0.40 meter