1. **State the problem:** You have two bundles of spaghetti noodles: one with 5 noodles and one with 10 noodles. The 5-noodle bundle can hold 10 quarters before breaking, and the 10-noodle bundle can hold 20 quarters before breaking. Each quarter weighs $5 \frac{67}{100}$ grams. You need to find how many more grams the 10-noodle bundle can hold than the 5-noodle bundle. 2. **Write down the given information:** - Weight of each quarter: $5 \frac{67}{100} = 5 + \frac{67}{100} = \frac{500}{100} + \frac{67}{100} = \frac{567}{100}$ grams - Quarters held by 5-noodle bundle: 10 - Quarters held by 10-noodle bundle: 20 3. **Calculate the total weight each bundle can hold:** - Weight for 5-noodle bundle: $10 \times \frac{567}{100} = \frac{10 \times 567}{100} = \frac{5670}{100}$ grams - Weight for 10-noodle bundle: $20 \times \frac{567}{100} = \frac{20 \times 567}{100} = \frac{11340}{100}$ grams 4. **Find the difference in weight:** $$\frac{11340}{100} - \frac{5670}{100} = \frac{11340 - 5670}{100} = \frac{5670}{100}$$ 5. **Simplify the fraction:** $$\frac{5670}{100} = \frac{\cancel{5670}^{5670 \div 10}}{\cancel{100}^{100 \div 10}} = \frac{567}{10} = 56 \frac{7}{10}$$ grams 6. **Final answer:** The bundle of 10 noodles can hold $56 \frac{7}{10}$ grams more than the bundle of 5 noodles.