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Let's go through the problem step by step.

### **UNIT 5: ITEM 5b**
**Question:**  
*Berapakah bilangan minimum batang paip yang diperlukan untuk memuatkan 300 batang pokok?*  
(Translation: What is the minimum number of pipes required to hold 300 plants?)

**Your Response:**  
The calculation provided is `300 ÷ 8 = 37.5`, which was rounded to `38`.

**Explanation:**  
- The number 300 represents the total number of plants.
- Each pipe can hold 8 plants.
- To find the minimum number of pipes, you divide the total number of plants by the number of plants each pipe can hold: \( \frac{300}{8} = 37.5 \).
- Since the number of pipes must be a whole number, you round 37.5 up to 38 because you can't have a fraction of a pipe.

### **UNIT 5: ITEM 5c**
**Question:**  
*Berdasarkan syarat-syarat penanaman di bawah, berapakah bilangan minimum pokok timun yang boleh ditanam?*  
(Translation: Based on the planting conditions below, what is the minimum number of cucumber plants that can be planted?)

**Conditions:**
1. The maximum number of cucumber and tomato plants combined is 300.
2. The number of tomato plants must be less than 100.

To solve this:

1. Let the number of cucumber plants be \( C \) and the number of tomato plants be \( T \).
2. From condition (ii), \( T < 100 \).
3. From condition (i), \( C + T = 300 \).

To find the minimum number of cucumber plants:
- To minimize \( C \), maximize \( T \) while keeping \( T < 100 \).
- Let \( T = 99 \) (the maximum possible without violating the condition).

So:
\[ C = 300 - 99 = 201 \]

Thus, the minimum number of cucumber plants that can be planted is **201**.

**Explanation:**
This ensures that the conditions are met: the total number of plants does not exceed 300, and the number of tomato plants is less than 100.

### **Questions to Explore Further**
1. What if the number of tomato plants must be exactly 50? How many cucumber plants could be planted?
2. How would the answer change if the maximum number of plants was increased to 400?
3. What is the impact on the minimum cucumber plants if each pipe could hold 10 plants instead of 8?
4. Can the same method be used if there were 3 types of plants instead of 2? Why or why not?
5. How would rounding down instead of up affect the solution to the first

Berapakah bilangan minimum batang paip yang diperlukan untuk memuatkan 300 batang pokok? Berdasarkan syarat-syarat penanaman di bawah, berapakah bilangan minimum pokok timun yang boleh ditanam?

Learn how to calculate the minimum number of pipes required to hold 300 plants and the minimum number of cucumber plants that can be planted under specific conditions. This problem involves division, inequalities, and algebraic concepts, suitable for students in Grades 6-8.

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