Question
3. Marcus needs to cut a 5 -yard length of yarn into equal pieces for his art project. Write an equation that models the length \( l \) in yards of each piece of yarn if Marcus cuts it into p pieces.
Ask by Bartlett Erickson. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The length of each piece is \( l = \frac{5}{p} \) yards.
Solution
Marcus has a total of 5 yards of yarn, and he divides it equally into p pieces. The length of each piece is given by the total length divided by the number of pieces. Therefore, the equation is:
l = 5 / p
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Simplify this solution Mind Expander
To determine the length of each piece of yarn, you can use the equation \( l = \frac{5}{p} \). Here, \( l \) represents the length of each individual piece in yards, and \( p \) is the total number of pieces Marcus decides to cut the yarn into. If Marcus cuts the yarn into 1 piece, he has a 5-yard piece. However, if he cuts it into 5 pieces, each piece will be 1 yard long! The fun part is that the more pieces he makes, the shorter each piece becomes. It's a delightful exercise in division!
