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The problem states that:

- Andi buys 4 notebooks and 1 eraser for Rp5,600.
- Budi buys 5 notebooks and 3 erasers for Rp8,400.

Let's define the variables:
- Let \( x \) represent the price of one notebook.
- Let \( y \) represent the price of one eraser.

### a. Writing the mathematical model:

From the given information, we can form two equations based on Andi's and Budi's purchases:

1. Andi: 
\[
4x + y = 5600
\]
2. Budi: 
\[
5x + 3y = 8400
\]

### b. Solving for the price of one notebook and one eraser:

We need to solve this system of equations.

**Step 1:** Multiply the first equation by 3 to eliminate \( y \):

\[
3(4x + y) = 3(5600) \implies 12x + 3y = 16800
\]

Now, subtract the second equation from this result:

\[
(12x + 3y) - (5x + 3y) = 16800 - 8400
\]

Simplifying this:

\[
7x = 8400 \implies x = 1200
\]

**Step 2:** Substitute \( x = 1200 \) into the first equation to find \( y \):

\[
4(1200) + y = 5600 \implies 4800 + y = 5600 \implies y = 800
\]

Thus, the price of one notebook is Rp1,200, and the price of one eraser is Rp800.

### c. How much would Candra pay if she buys 5 notebooks and 5 erasers?

Using the prices found:

\[
5x + 5y = 5(1200) + 5(800) = 6000 + 4000 = 10000
\]

So, Candra would pay Rp10,000 for 5 notebooks and 5 erasers.

---

Would you like more details on any step?

Here are five related questions for further practice:
1. What would Andi pay if he bought 6 notebooks and 2 erasers?
2. If Budi bought 3 notebooks and 1 eraser, how much would he pay?
3. How much would the price be for 10 notebooks and 7 erasers?
4. If Candra bought 7 notebooks and 4 erasers, what would the total cost be?
5. What is the ratio of the price of a notebook to the price of an eraser?

**Tip:** When solving simultaneous equations, multiplying one or both equations to align the coefficients of one variable helps simplify the solution.

Andi berbelanja ke toko buku. Ia membeli 4 buku tulis dan sebuah penghapus dengan membayar Rp5.600,00. Di toko buku yang sama, Budi membeli 5 buku tulis dan 3 penghapus dengan membayar sebesar Rp8.400,00. a. Tuliskan model matematika dari permasalahan tersebut! b. Berapakah harga satuan buku tulis dan penghapus? c. Berapakah Candra harus membayar jika ia membeli 5 buku tulis dan 5 penghapus?

This problem involves using algebra to solve for the price of notebooks and erasers based on simultaneous linear equations. Andi buys 4 notebooks and 1 eraser for Rp5,600, while Budi buys 5 notebooks and 3 erasers for Rp8,400. Learn how to solve for individual prices and calculate how much Candra would pay for 5 notebooks and 5 erasers.

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