Middle School

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Connie has 84 feet of red ribbon, 48 feet of blue ribbon, and 72 feet of blue ribbon. She wants to cut the ribbons into equal lengths that are as long as possible so that no ribbon is wasted. What is the maximum length of each piece of ribbon?

Answer :

Final answer:

The longest possible equal length of the ribbons is 12 feet. This is calculated using the Greatest Common Divisor method, which is the largest number that can divide the lengths of the ribbons without leaving a remainder.

Explanation:

The subject matter is to find the longest possible length of the ribbon sections without wasting any of the ribbons. To solve this, we can use the Greatest Common Divisor (GCD) concept in mathematics. The GCD is the largest number that divides evenly into each of the given numbers. In this case, we need to find the GCD of 84 feet (red ribbon), 48 feet (blue ribbon), and 72 feet (second blue ribbon). The GCD of these numbers is 12, which means the longest possible length she can cut the ribbons into, without wasting any, is 12 feet.

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Answer:

Connie can cut the ribbon into 12 foot pieces.

Step-by-step explanation:

For these problems we should find the GCF, which is 12.