Calculating the Total Length of Ribbon

Oct 13, 2025 by miodeya.com 120 views

Introduction

Lucia is a crafty individual who loves decorating presents with beautiful ribbons. She has a collection of 18 pieces of ribbon, each with a unique length. In this article, we will explore the total length of Lucia's ribbon collection, given that one ribbon's length is $\frac{5}{6}$ of a yard.

Calculating the Total Length of Ribbon

To find the total length of Lucia's ribbon collection, we need to multiply the length of one ribbon by the total number of ribbons. Let's start by calculating the length of one ribbon.

Length of One Ribbon

The length of one ribbon is given as $\frac{5}{6}$ of a yard. To convert this fraction to a decimal, we can divide the numerator (5) by the denominator (6).

$\frac{5}{6} = 0.8333...$

Total Number of Ribbons

Lucia has a collection of 18 pieces of ribbon. To find the total length of her ribbon collection, we need to multiply the length of one ribbon by the total number of ribbons.

Calculating the Total Length of Ribbon

Now, let's calculate the total length of Lucia's ribbon collection.

Total length of ribbon = Length of one ribbon x Total number of ribbons = 0.8333... x 18 = 15

Therefore, Lucia has a total of 15 yards of ribbon in her collection.

Conclusion

In this article, we explored the total length of Lucia's ribbon collection, given that one ribbon's length is $\frac{5}{6}$ of a yard. By multiplying the length of one ribbon by the total number of ribbons, we found that Lucia has a total of 15 yards of ribbon in her collection.

Discussion

What if Lucia had a collection of 20 pieces of ribbon, each with a length of $\frac{5}{6}$ of a yard? How many yards of ribbon would she have in her collection?
Suppose Lucia wanted to add 5 more pieces of ribbon to her collection, each with a length of $\frac{5}{6}$ of a yard. How many yards of ribbon would she have in her collection after adding the new ribbons?

Answer Key

Lucia would have a total of 16.67 yards of ribbon in her collection.
Lucia would have a total of 20 yards of ribbon in her collection after adding the new ribbons.

Mathematical Concepts

Multiplication
Fractions
Decimals
Conversion of fractions to decimals

Real-World Applications

Measuring lengths of ribbons for crafting or decorating purposes
Calculating total lengths of materials for construction or DIY projects
Understanding the concept of multiplication and its applications in real-world scenarios
Lucia's Ribbon Collection: Q&A =====================================

Introduction

In our previous article, we explored the total length of Lucia's ribbon collection, given that one ribbon's length is $\frac{5}{6}$ of a yard. In this article, we will answer some frequently asked questions related to Lucia's ribbon collection.

Q&A

Q: What if Lucia had a collection of 20 pieces of ribbon, each with a length of $\frac{5}{6}$ of a yard? How many yards of ribbon would she have in her collection?

A: To find the total length of Lucia's ribbon collection, we need to multiply the length of one ribbon by the total number of ribbons.

Total length of ribbon = Length of one ribbon x Total number of ribbons = 0.8333... x 20 = 16.67

Therefore, Lucia would have a total of 16.67 yards of ribbon in her collection.

Q: Suppose Lucia wanted to add 5 more pieces of ribbon to her collection, each with a length of $\frac{5}{6}$ of a yard. How many yards of ribbon would she have in her collection after adding the new ribbons?

A: To find the total length of Lucia's ribbon collection after adding the new ribbons, we need to add the length of the new ribbons to the existing length of the ribbons.

Length of new ribbons = 0.8333... x 5 = 4.1667...

Total length of ribbon = Existing length of ribbons + Length of new ribbons = 15 + 4.1667... = 19.1667...

Therefore, Lucia would have a total of 19.17 yards of ribbon in her collection after adding the new ribbons.

Q: What if Lucia had a collection of 25 pieces of ribbon, each with a length of $\frac{5}{6}$ of a yard? How many yards of ribbon would she have in her collection?

A: To find the total length of Lucia's ribbon collection, we need to multiply the length of one ribbon by the total number of ribbons.

Total length of ribbon = Length of one ribbon x Total number of ribbons = 0.8333... x 25 = 20.8333...

Therefore, Lucia would have a total of 20.83 yards of ribbon in her collection.

Q: Suppose Lucia wanted to remove 3 pieces of ribbon from her collection, each with a length of $\frac{5}{6}$ of a yard. How many yards of ribbon would she have in her collection after removing the ribbons?

A: To find the total length of Lucia's ribbon collection after removing the ribbons, we need to subtract the length of the removed ribbons from the existing length of the ribbons.

Length of removed ribbons = 0.8333... x 3 = 2.5

Total length of ribbon = Existing length of ribbons - Length of removed ribbons = 15 - 2.5 = 12.5

Therefore, Lucia would have a total of 12.5 yards of ribbon in her collection after removing the ribbons.

Conclusion

In this article, we answered some frequently asked questions related to Lucia's ribbon collection. We explored different scenarios, such as adding or removing ribbons, and calculated the total length of Lucia's ribbon collection in each case.

Discussion

What if Lucia had a collection of 30 pieces of ribbon, each with a length of $\frac{5}{6}$ of a yard? How many yards of ribbon would she have in her collection?
Suppose Lucia wanted to add 10 more pieces of ribbon to her collection, each with a length of $\frac{5}{6}$ of a yard. How many yards of ribbon would she have in her collection after adding the new ribbons?

Answer Key

Lucia would have a total of 25 yards of ribbon in her collection.
Lucia would have a total of 25 yards of ribbon in her collection after adding the new ribbons.

Mathematical Concepts

Multiplication
Fractions
Decimals
Conversion of fractions to decimals
Subtraction

Real-World Applications

Measuring lengths of ribbons for crafting or decorating purposes
Calculating total lengths of materials for construction or DIY projects
Understanding the concept of multiplication and its applications in real-world scenarios
Understanding the concept of subtraction and its applications in real-world scenarios