Answer :
Let's solve this problem step by step:
1. Understand the Problem:
- You have two bundles of spaghetti noodles: one with 5 noodles and one with 10 noodles.
- You predict that the bundle of 5 noodles can hold 10 quarters, and the bundle of 10 noodles can hold 20 quarters.
- Each quarter weighs [tex]\(5 \frac{67}{100}\)[/tex] grams, which is equivalent to 5.67 grams.
2. Calculate the Weight for Each Bundle:
- Bundle of 5 Noodles:
- The bundle can hold 10 quarters.
- To find out how much weight this is in grams, you multiply the number of quarters by the weight of one quarter:
[tex]\[
\text{Weight for 5 noodles} = 10 \times 5.67 = 56.7 \text{ grams}
\][/tex]
- Bundle of 10 Noodles:
- The bundle can hold 20 quarters.
- Similarly, multiply the number of quarters by the weight of one quarter:
[tex]\[
\text{Weight for 10 noodles} = 20 \times 5.67 = 113.4 \text{ grams}
\][/tex]
3. Calculate the Difference in Weight:
- To find out how many more grams the bundle of 10 noodles can hold than the bundle of 5 noodles, subtract the weight held by the 5-noodle bundle from the weight held by the 10-noodle bundle:
[tex]\[
\text{Difference in weight} = 113.4 - 56.7 = 56.7 \text{ grams}
\][/tex]
So, according to your predictions, the bundle of 10 noodles can hold 56.7 grams more than the bundle of 5 noodles.
1. Understand the Problem:
- You have two bundles of spaghetti noodles: one with 5 noodles and one with 10 noodles.
- You predict that the bundle of 5 noodles can hold 10 quarters, and the bundle of 10 noodles can hold 20 quarters.
- Each quarter weighs [tex]\(5 \frac{67}{100}\)[/tex] grams, which is equivalent to 5.67 grams.
2. Calculate the Weight for Each Bundle:
- Bundle of 5 Noodles:
- The bundle can hold 10 quarters.
- To find out how much weight this is in grams, you multiply the number of quarters by the weight of one quarter:
[tex]\[
\text{Weight for 5 noodles} = 10 \times 5.67 = 56.7 \text{ grams}
\][/tex]
- Bundle of 10 Noodles:
- The bundle can hold 20 quarters.
- Similarly, multiply the number of quarters by the weight of one quarter:
[tex]\[
\text{Weight for 10 noodles} = 20 \times 5.67 = 113.4 \text{ grams}
\][/tex]
3. Calculate the Difference in Weight:
- To find out how many more grams the bundle of 10 noodles can hold than the bundle of 5 noodles, subtract the weight held by the 5-noodle bundle from the weight held by the 10-noodle bundle:
[tex]\[
\text{Difference in weight} = 113.4 - 56.7 = 56.7 \text{ grams}
\][/tex]
So, according to your predictions, the bundle of 10 noodles can hold 56.7 grams more than the bundle of 5 noodles.
