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The problem states:

You went to the post office to buy stamps of ₹5, ₹2, and ₹1 denominations. You paid the clerk ₹20, but the clerk didn't have change and gave you three more ₹1 stamps. If the number of stamps of each type you initially ordered was more than one, what was the total number of stamps you bought?

Let's define:
- \( x_5 \): the number of ₹5 stamps,
- \( x_2 \): the number of ₹2 stamps,
- \( x_1 \): the number of ₹1 stamps.

The cost equation based on the number of stamps is:
\[
5x_5 + 2x_2 + x_1 = 20.
\]

After the transaction, the clerk gave you three extra ₹1 stamps. So, your final number of ₹1 stamps is \( x_1 + 3 \).

We are tasked with finding the total number of stamps.

### Constraints:
1. \( x_5 \geq 1 \),
2. \( x_2 \geq 1 \),
3. \( x_1 \geq 1 \),
4. Total value is 20.

Let's solve this system and calculate the total number of stamps.Let me manually proceed with analyzing the solution based on the equation \( 5x_5 + 2x_2 + x_1 = 20 \), while also applying the constraints \( x_5 \geq 1 \), \( x_2 \geq 1 \), and \( x_1 \geq 1 \).

We will now manually test possible values for \( x_5 \) and \( x_2 \).

### Step-by-step approach:

- If \( x_5 = 3 \), then the equation becomes:
  \[
  5(3) + 2x_2 + x_1 = 20 \implies 15 + 2x_2 + x_1 = 20 \implies 2x_2 + x_1 = 5.
  \]
  Since \( x_2 \geq 1 \), try \( x_2 = 2 \):
  \[
  2(2) + x_1 = 5 \implies 4 + x_1 = 5 \implies x_1 = 1.
  \]
  This satisfies the condition \( x_1 \geq 1 \).

Thus, \( x_5 = 3 \), \( x_2 = 2 \), and \( x_1 = 1 \) is a valid solution.

### Total number of stamps:
Initially, the total number of stamps is \( x_5 + x_2 + x_1 = 3 + 2 + 1 = 6 \). But after the clerk gives you 3 more ₹1 stamps, the total becomes:
\[
6 + 3 = 9.
\]

Thus, the total number of stamps you bought is **9**.

Would you like further details or have any questions?

Here are 5 relative questions to deepen understanding:
1. What would the result be if the total amount paid was different?
2. How would the solution change if fewer types of stamps were bought?
3. Can you derive a generalized method for solving similar stamp problems?
4. How does the equation approach simplify solving practical problems?
5. How can constraints like "minimum number of stamps" be applied to other optimization problems?

**Tip:** Always verify if additional conditions (like minimum numbers) affect your final solution, especially in constraint-based problems.

Once I had been to the post-office to buy stamps of five rupees, two rupees, and one rupee. I paid the clerk Rs. 20, and since he did not have change, he gave me three more stamps of one rupee. If the number of stamps of each type that I had ordered initially was more than one, what was the total number of stamps that I bought?

Solve the post-office stamp problem where Rs. 20 is spent on stamps of different denominations, and additional stamps are given due to a lack of change. This problem involves solving a linear equation with constraints, ideal for students in Grades 7-9.

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