For a science experiment, students need to find [tex]25 \%[/tex] of 60 grams.

- Jada says, "I can find this by calculating [tex]\frac{1}{4}[/tex] of 60."
- Andre says, "[tex]25 \%[/tex] of 60 means [tex]\frac{25}{100} \cdot 60[/tex]."

Do you agree with either of them? Explain your reasoning.

Answer :

Both Jada and Andre are correct in their methods to find 25% of 60 grams, and here's why:

Jada's Method:

1. Jada suggests finding [tex]\(\frac{1}{4}\)[/tex] of 60 grams.
2. This works because 25% and [tex]\(\frac{1}{4}\)[/tex] are equivalent. To understand why:
- 25% means 25 per 100 or [tex]\(\frac{25}{100}\)[/tex].
- If we simplify [tex]\(\frac{25}{100}\)[/tex], we divide both the numerator and the denominator by 25, which gives us [tex]\(\frac{1}{4}\)[/tex].
3. So, [tex]\(\frac{1}{4}\)[/tex] of 60 is calculated as follows:
- [tex]\(\frac{1}{4} \times 60 = 15\)[/tex].
4. Therefore, Jada is correct that [tex]\(\frac{1}{4}\)[/tex] of 60 is 15 grams.

Andre's Method:

1. Andre calculates 25% of 60 directly as [tex]\(\frac{25}{100} \cdot 60\)[/tex].
2. To do this, we calculate [tex]\(\frac{25}{100} \times 60\)[/tex]:
- First, [tex]\(\frac{25}{100} = 0.25\)[/tex].
- Then multiply: [tex]\(0.25 \times 60 = 15\)[/tex].
3. Therefore, Andre's calculation also shows that 25% of 60 grams is 15 grams.

Since both methods result in 15 grams, Jada and Andre both used valid approaches to find that 25% of 60 grams is 15 grams.