Brianna's Yarn Dilemma: Finding the Original Length

Brianna's Yarn Dilemma

Brianna cut a piece of yarn into four equal length pieces then she cut two inches off one of the pieces leaving 5 in of yarn on the piece. What was the length of the original piece of yarn?

Final answer:

To find the length of the original piece of yarn, we can set up an equation and solve for the unknown variable. The original length of the yarn was 28 inches.

Explanation:

To find the length of the original piece of yarn, we can use the information given in the problem. Brianna cut a piece of yarn into four equal length pieces, so each piece is 1/4th of the original length. Then, she cut 2 inches off one of the pieces, leaving 5 inches on that piece. Let's call the original length of the yarn 'x'. So, we have:

(1/4)x - 2 = 5

Now we can solve for 'x'. First, we can add 2 to both sides of the equation:

(1/4)x = 7

Next, we can multiply both sides of the equation by 4 to get rid of the fraction:

x = 4 * 7 = 28

Therefore, the length of the original piece of yarn was 28 inches.