College

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

You predict that:
- A bundle of 8 spaghetti noodles can hold 16 quarters before breaking.
- A bundle of 16 spaghetti noodles can hold 32 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 16 noodles hold than the bundle of 8 noodles?

Answer :

The bundle of 16 noodles can support 90.72 grams greater weight than the bundle of 8 noodles.

Explain about the fraction of number?

Part of the whole is represented by a fraction. A fraction's numerator is the number at the top, and its denominator is the number at the bottom. Hence, the numerator of the fraction 3/5 is 3 and thus the denominator is 5.

For the given question:

  • 8 spaghetti noodles can safely carry 16 quarters before they break.
  • 32 quarters can fit into a bundle of 16 spaghetti noodles without breaking.

Each quarter weights = 5 67/100 grams.

Convert mixed fraction in proper fraction.

Each quarter weights = 567/100 grams.

Then,

weight by 16 quarters = 16* 567/100 grams.

weight by 16 quarters = 90.72 grams

weight by 32 quarters = 32* 567/100 grams.

weight by 32 quarters = 181.44 grams

Difference = 181.44 - 90.72 = 90.72 grams

Thus, the bundle of 16 noodles can support 90.72 grams greater weight than the bundle of 8 noodles.

Know more about the fraction of number

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Final answer:

According to the student's predictions, the bundle of 16 spaghetti noodles can hold 90.72 grams more than the bundle of 8 noodles.

Explanation:

To determine how many more grams the bundle of 16 spaghetti noodles can hold than the bundle of 8 noodles, we first need to understand the weight of the quarters. Given that each quarter weighs 5 67/100 grams, we can calculate the total weight each bundle can hold following your predictions.

  1. 16 quarters, which you predict a bundle of 8 noodles can carry, will weigh 16 * 5 67/100 = 90.72 grams.
  2. 32 quarters, which you predict a bundle of 16 noodles can carry, will weigh 32 * 5 67/100 = 181.44 grams.

The difference between what the bundle of 16 noodles and 8 noodles can carry in grams is therefore 181.44 - 90.72 = 90.72 grams. Thus, according to your predictions, the bundle of 16 noodles can hold 90.72 grams more than the bundle of 8 noodles.


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