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Which situations can be represented by \( \frac{25}{9} 7 \) Select all that apply. (4) Platon cuts 25 yards of paper equally to make 9 banners. (d) Selena gives away 9 stickers from a sheet of 25 stickers. (C) Keenan invites 25 children and 9 adults to a party. (D) Mercedes makes 9 rows with 25 buttons each. (5) Felipe makes 9 equal servings from a 25 -ounce bag of peanuts.

Ask by Valdez Reese. in the United States
Feb 27,2025

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Answer

The situations that can be represented by \( \frac{25}{9} \) are: - (4) Platon cuts 25 yards of paper equally to make 9 banners. - (C) Keenan invites 25 children and 9 adults to a party. - (5) Felipe makes 9 equal servings from a 25-ounce bag of peanuts.

Solution

We need to decide which of the situations can be modeled by the fraction 25/9. In many word‐problem contexts, writing 25/9 represents one quantity divided equally among 9 parts or a ratio of 25 to 9. Let’s go through each situation: 1. (4) Platon cuts 25 yards of paper equally to make 9 banners.  • Here the total length (25 yards) is divided equally into 9 banners. This means each banner gets 25/9 yards of paper. So, 25/9 models this situation. 2. (d) Selena gives away 9 stickers from a sheet of 25 stickers.  • In this case, the fraction would be 9/25 if we wanted to represent the part given away or 16/25 if we look at what’s left. It is not naturally expressed as 25 divided by 9. So this one does not fit. 3. (C) Keenan invites 25 children and 9 adults to a party.  • The ratio of children to adults is 25:9, which can be written as the fraction 25/9. That makes this scenario a match. 4. (D) Mercedes makes 9 rows with 25 buttons each.  • This situation is best modeled by multiplication: total buttons = 9 × 25 = 225. Although you could form a ratio (25 per 9 rows gives 25/9), in the context it is more natural to say “25 buttons in each of 9 rows” rather than thinking of it as dividing 25 by 9. So this one is not a natural representation of the fraction 25/9. 5. (5) Felipe makes 9 equal servings from a 25‑ounce bag of peanuts.  • Here the 25 ounces are divided equally among 9 servings, with each serving containing 25/9 ounces. Thus, this situation is represented by 25/9. Thus, the situations that can be represented by 25/9 are: • (4) Platon’s banners, • (C) Keenan’s party ratio, • (5) Felipe’s servings.

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Bonus Knowledge

Imagine Platon’s crafting adventure where he meticulously divides 25 yards of vibrant paper into 9 equally stunning banners. Each banner would be crafted with its own unique charm—a perfect representation of that fraction! Now, shift gears to Felipe, a snack enthusiast who cleverly portions his 25-ounce bag of peanuts into 9 equal servings. Each serving means everyone at the party can join in the fun without any bickering over who gets more peanuts! Both scenarios beautifully illustrate how \( \frac{25}{9} \) can come to life in real-world activities.

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