High School

Florence found 9 rolls of orange and blue ribbon. Each roll of orange ribbon is 4 meters long, and each roll of blue ribbon is 3 meters long. If the total length of ribbon is 32 meters, how many rolls of each color did she find?

Answer :

Final answer:

Florence found 5 rolls of orange ribbon and 4 rolls of blue ribbon.

Explanation:

To find the number of rolls of orange ribbon and blue ribbon that Florence found, we can set up a system of equations. Let x represent the number of rolls of orange ribbon and y represent the number of rolls of blue ribbon. We have two equations:

  1. x * 4 + y * 3 = 32 (since each roll of orange ribbon is 4 meters long and each roll of blue ribbon is 3 meters long)
  2. x + y = 9 (since Florence found a total of 9 rolls of ribbon)

We can solve this system of equations by substitution or elimination. Let's use the elimination method.

Multiplying the second equation by 3, we get:

3x + 3y = 27

Subtracting this equation from the first equation, we eliminate y:

(x * 4 + y * 3) - (3x + 3y) = 32 - 27

x = 5

Substituting the value of x into the second equation, we find:

5 + y = 9

y = 4

Therefore, Florence found 5 rolls of orange ribbon and 4 rolls of blue ribbon.

Learn more about Finding the number of rolls of orange and blue ribbon here:

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