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The problem you're asking about is a cost calculation based on the items in two different packages. Let's break it down:

### Given Information:
- **Package 1:** 4 books and 2 pencils, total cost = Rp21,000.
- **Package 2:** 3 books and 4 pencils, costs Rp1,000 more than the first package (so, Rp22,000).
- We are tasked with finding the cost of **2 books and 1 pencil**.

### Step-by-step analysis:

1. **Define the Variables:**
   - Let the cost of one book be **B**.
   - Let the cost of one pencil be **P**.

2. **Equation for the First Package:**
   - \( 4B + 2P = 21,000 \).

3. **Equation for the Second Package:**
   - \( 3B + 4P = 22,000 \) (since the second package is Rp1,000 more expensive).

### Solving the system of equations:
- \( 4B + 2P = 21,000 \)  (Equation 1)
- \( 3B + 4P = 22,000 \)  (Equation 2)

I will now solve these equations.The solution to the system of equations is:
- **Cost of one book (B) = Rp 4,000**
- **Cost of one pencil (P) = Rp 2,500**

### Now, we need to calculate the cost of 2 books and 1 pencil:
\[
\text{Cost of 2 books and 1 pencil} = 2B + P = 2(4000) + 2500 = 8000 + 2500 = 10,500
\]

Thus, the price of **2 books and 1 pencil** is **Rp 10,500**.

The correct answer is **D. Rp 10,500**.

Would you like a deeper explanation or have any other questions?

Here are 5 related questions:
1. How would the total cost change if the price of a pencil increased by 10%?
2. If the number of pencils and books doubled in each package, how would you adjust the equations?
3. What if the second package cost Rp 1,500 more than the first package instead?
4. How would you solve this using matrices or substitution methods?
5. Can you create similar problems with different pricing for more practice?

**Tip:** When solving systems of equations, eliminating one variable by substitution or elimination is key to simplifying the problem.

Ibu Mulia menyiapkan paket ulang tahun untuk teman-teman anaknya di sekolah. Ia membuat 2 jenis paket alat tulis untuk hadiah ulang tahun. Paket pertama terdiri atas 4 buku tulis dan 2 pensil, harganya Rp21.000. Paket kedua terdiri atas 3 buku tulis dan 4 pensil, harganya Rp1.000 lebih mahal dari paket pertama. Harga 2 buku tulis dan 1 pensil adalah ....

Learn how to solve a system of equations involving the cost of books and pencils. This problem provides detailed steps to find the price of 2 books and 1 pencil. Suitable for middle school students in Grades 6-8.

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