High School

We appreciate your visit to Sasha buys two ribbons of equal length She cuts 9 pieces of the same length L from the first ribbon and finds that 5 inches. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Sasha buys two ribbons of equal length. She cuts 9 pieces of the same length, \( L \), from the first ribbon and finds that 5 inches are left over. She then cuts two pieces of the same length, \( L \), from the second ribbon and finds that 40 inches are left over. What was the length of each ribbon when she bought them?

Answer :

Answer:

50 inches.

Step-by-step explanation:

Let the length of the each ribbon was x.

Now, she cuts 9 pieces of same length L which means total length is 9L.

Now, doing the same she was left with 5 inches of ribbon. Hence, we have

[tex[9L+5=x.....(1)[/tex]

Similarly, we can write a equation for the second situation.

[tex]2L+40=x......(2)[/tex]

From equation 1 and 2,

[tex]9L+5=2L+40\\\\7L=35\\\\L=5[/tex]

Plugging this value in equation 1,

[tex]9(5)+5=x\\\\x=45+5\\x=50[/tex]

Therefore, the length of each ribbon when she bought them was 50 inches.

Thanks for taking the time to read Sasha buys two ribbons of equal length She cuts 9 pieces of the same length L from the first ribbon and finds that 5 inches. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada