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The problem given is about distributing a total amount of sugar among people equally. Let's break it down:

### Problem:

The total amount of sugar donations is:

\[
22 \frac{3}{4} \, \text{kg}, \, 25 \frac{1}{2} \, \text{kg}, \, \text{and} \, 24 \frac{1}{4} \, \text{kg}.
\]

Each person receives:

\[
2 \frac{1}{2} \, \text{kg}.
\]

We need to find out how many people can receive this sugar.

### Step 1: Convert all mixed fractions into improper fractions.

- \( 22 \frac{3}{4} \, \text{kg} = \frac{91}{4} \, \text{kg} \)
- \( 25 \frac{1}{2} \, \text{kg} = \frac{51}{2} \, \text{kg} \)
- \( 24 \frac{1}{4} \, \text{kg} = \frac{97}{4} \, \text{kg} \)

### Step 2: Add all the sugar donations together.

First, we convert \( \frac{51}{2} \, \text{kg} \) to have the same denominator:

\[
\frac{51}{2} = \frac{102}{4}.
\]

Now, sum up the total sugar:

\[
\frac{91}{4} + \frac{102}{4} + \frac{97}{4} = \frac{91 + 102 + 97}{4} = \frac{290}{4} = 72.5 \, \text{kg}.
\]

### Step 3: Divide the total amount of sugar by the amount each person receives.

Each person gets \( 2 \frac{1}{2} \, \text{kg} = \frac{5}{2} \, \text{kg} \). To find out how many people can receive sugar, divide the total amount of sugar by \( \frac{5}{2} \):

\[
\frac{72.5}{\frac{5}{2}} = 72.5 \times \frac{2}{5} = \frac{145}{5} = 29.
\]

### Conclusion:

The number of people who will receive sugar is **29**.

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you convert a mixed fraction into an improper fraction?
2. What is the process of finding a common denominator?
3. Can you explain why dividing by a fraction is the same as multiplying by its reciprocal?
4. What other scenarios can this type of problem-solving be applied to?
5. How does this process change if the amounts of sugar are given in decimal form instead of fractions?

**Tip**: Always convert mixed fractions to improper fractions before performing operations like addition or division.

Panitia kegiatan sosial menerima sumbangan gula pasir beratnya 22 3/4 kg, 25 1/2 kg, dan 24 1/4 kg untuk dibagikan kepada sekelompok warga. Setiap warga menerima 2 1/2 kg, maka banyak warga yang menerima gula pasir tersebut adalah ...

Solve a problem involving fractions and division: find the number of people sharing 22 3/4 kg, 25 1/2 kg, and 24 1/4 kg of sugar, with each person receiving 2 1/2 kg. Detailed step-by-step solution for students in Grades 6-8.

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