High School

Alexis has two ribbons. One of the ribbons is 40 centimeters long and the other is 70 centimeters long. She wants to cut each ribbon into equal pieces of the same length, with no ribbon left over.

1. What is the longest length she can cut the ribbons?
2. How many pieces of ribbon will she have in all?

Answer :

Final answer:

The longest length Alexis can cut the ribbons is 10 centimeters, and she will have a total of 11 pieces of ribbon.

Explanation:

To find the longest length that Alexis can cut the ribbons, we need to find the greatest common divisor (GCD) of the lengths of the ribbons. The GCD of 40 and 70 is 10. Therefore, the longest length she can cut the ribbons is 10 centimeters.

To determine the number of pieces of ribbon she will have in total, we divide the length of each ribbon by the longest length. For the first ribbon, 40 divided by 10 is 4, and for the second ribbon, 70 divided by 10 is 7. So in total, Alexis will have 4 pieces from the first ribbon and 7 pieces from the second ribbon, giving her a total of 11 pieces of ribbon.

Learn more about Longest length of cut ribbons here:

https://brainly.com/question/35061011

#SPJ1

Other Questions