Question

Linda had an orange ribbon and a blue ribbon. 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 piece was 25% of the length of the blue ribbon.
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.

Answer 1

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 = $\frac{4}{5} \times2 =\frac{8}{5}$   (given)

As the length of the cut piece was 25%  of the length of the blue ribbon,

Therefore the length of the cut piece = $\frac{8}{5} of 25\%$

                                                               = $\frac{8}{5} \times\frac{25}{100} = \frac{200}{500} = 0.40$ meter

Therefore, A : The length of the blue ribbon before it was cut is $\frac{8}{5}$ meter that is 1.6 meter

B :  The length of the piece of the blue ribbon that Linda cut off is 0.40 meter

Answer 2

A) 2*4/5=8/5=1.6. The blue ribbon was 1.6 meters long before it was cut.
B) 1.6*25/100=40/100=0.4
The length of the piece Linda cut off is 0.4 meters