Answer :
To determine how many more grams a bundle of 10 noodles can hold than a bundle of 5 noodles, let's go through the problem step by step.
1. Understanding the Prediction:
- A bundle of 5 noodles is predicted to hold 10 quarters before breaking.
- A bundle of 10 noodles is predicted to hold 20 quarters before breaking.
- Each quarter weighs [tex]\(5 \frac{67}{100}\)[/tex] grams, which is equivalent to 5.67 grams.
2. Calculate the Total Weight for the Bundle of 5 Noodles:
- If a bundle of 5 noodles can hold 10 quarters, we calculate the weight it can hold:
[tex]\[
\text{Weight for 5 noodles} = 10 \text{ quarters} \times 5.67 \text{ grams/quarter} = 56.7 \text{ grams}
\][/tex]
3. Calculate the Total Weight for the Bundle of 10 Noodles:
- If a bundle of 10 noodles can hold 20 quarters, we calculate the weight it can hold:
[tex]\[
\text{Weight for 10 noodles} = 20 \text{ quarters} \times 5.67 \text{ grams/quarter} = 113.4 \text{ grams}
\][/tex]
4. Determine the Difference in Weight:
- To find how many more grams the bundle of 10 noodles can hold than the bundle of 5 noodles, we subtract the two weights:
[tex]\[
\text{Difference} = 113.4 \text{ grams} - 56.7 \text{ grams} = 56.7 \text{ grams}
\][/tex]
Therefore, the bundle of 10 noodles can hold 56.7 grams more than the bundle of 5 noodles.
1. Understanding the Prediction:
- A bundle of 5 noodles is predicted to hold 10 quarters before breaking.
- A bundle of 10 noodles is predicted to hold 20 quarters before breaking.
- Each quarter weighs [tex]\(5 \frac{67}{100}\)[/tex] grams, which is equivalent to 5.67 grams.
2. Calculate the Total Weight for the Bundle of 5 Noodles:
- If a bundle of 5 noodles can hold 10 quarters, we calculate the weight it can hold:
[tex]\[
\text{Weight for 5 noodles} = 10 \text{ quarters} \times 5.67 \text{ grams/quarter} = 56.7 \text{ grams}
\][/tex]
3. Calculate the Total Weight for the Bundle of 10 Noodles:
- If a bundle of 10 noodles can hold 20 quarters, we calculate the weight it can hold:
[tex]\[
\text{Weight for 10 noodles} = 20 \text{ quarters} \times 5.67 \text{ grams/quarter} = 113.4 \text{ grams}
\][/tex]
4. Determine the Difference in Weight:
- To find how many more grams the bundle of 10 noodles can hold than the bundle of 5 noodles, we subtract the two weights:
[tex]\[
\text{Difference} = 113.4 \text{ grams} - 56.7 \text{ grams} = 56.7 \text{ grams}
\][/tex]
Therefore, the bundle of 10 noodles can hold 56.7 grams more than the bundle of 5 noodles.
