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Julia has 48 inches of purple ribbon, 32 inches of green ribbon, and 96 inches of bright pink ribbon. She plans to cut the ribbons into pieces of equal length so that no ribbon is wasted.

a. What is the longest length she can cut?

b. How many pieces of each color will she have?

Answer :

Final answer:

The longest length Julia can cut the ribbons is 16 inches and she will have 3 purple, 2 green, and 6 pink pieces.

Explanation:

In this question, we're given three lengths of ribbons that Julia has: 48 inches (purple), 32 inches (green), and 96 inches (pink). We are trying to find out two things:

  1. what's the longest length she can cut these without wasting any and
  2. how many pieces of each color she will have following these cuts.

The longest cut length will be the greatest common divisor, or GCD, of the three lengths. The GCD of 48, 32 and 96 is 16 inches, meaning 16 inches is the longest length she can cut from each ribbon without wasting any.

To determine the number of pieces of each color she will have, we divide each ribbon's total length by the length of the pieces:

  • Purple: 48 / 16 = 3 pieces
  • Green: 32 / 16 = 2 pieces
  • Pink: 96 / 16 = 6 pieces

Learn more about Greatest Common Divisor here:

https://brainly.com/question/23270841

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