In science class, you test how many grams different-sized bundles of spaghetti can hold. You predict that:

- A bundle of 5 spaghetti noodles can hold 10 quarters before breaking.
- A bundle of 10 spaghetti noodles can hold 20 quarters before breaking.

Each quarter weighs [tex]$5 \frac{67}{100}$[/tex] grams.

According to your predictions, how many more grams can the bundle of 10 noodles hold than the bundle of 5 noodles?

Sure! Let's work through the problem step by step to find out how many more grams the bundle of 10 spaghetti noodles can hold compared to the bundle of 5 noodles.

1. Understand the Problem:
- A bundle of 5 spaghetti noodles is predicted to hold 10 quarters.
- A bundle of 10 spaghetti noodles is predicted to hold 20 quarters.
- Each quarter weighs [tex]$5 \frac{67}{100}$[/tex] grams.

2. Convert Mixed Number to Decimal:
- The weight of one quarter is given as [tex]$5 \frac{67}{100}$[/tex] grams, which is equal to 5.67 grams.

3. Calculate the Total Weight for Each Bundle:

- Bundle of 5 Noodles:
- It holds 10 quarters.
- Total weight for 5 noodles = Number of quarters × Weight per quarter
- Total weight for 5 noodles = [tex]$10 \times 5.67$[/tex] grams
- Total weight for 5 noodles = 56.7 grams

- Bundle of 10 Noodles:
- It holds 20 quarters.
- Total weight for 10 noodles = Number of quarters × Weight per quarter
- Total weight for 10 noodles = [tex]$20 \times 5.67$[/tex] grams
- Total weight for 10 noodles = 113.4 grams

4. Find the Difference in Weight:
- To find out how many more grams the 10 noodle bundle can hold compared to the 5 noodle bundle, subtract the total weight of the 5 noodle bundle from the total weight of the 10 noodle bundle:
- Difference = Total weight for 10 noodles - Total weight for 5 noodles
- Difference = 113.4 grams - 56.7 grams
- Difference = 56.7 grams

So, the bundle of 10 spaghetti noodles can hold 56.7 grams more than the bundle of 5 spaghetti noodles.