https://file.aiquickdraw.com/mathbot/file/1726304117137jv6lvf7a.jpg

The problem in the image is in German. Here's a translation and breakdown of the problem:

**Problem Statement:**
Lisa goes shopping for pants ("Hosen") and shirts ("Shirts"). When her friends ask her how many pants and shirts she bought, she answers:
- "The number of shirts is two less than twice the number of pants."
- "Additionally, the number of shirts is four less than four times the number of pants."
  
The question asks: **How many shirts and pants did Lisa buy?**

### Let's define variables:
- Let \( x \) be the number of pants Lisa bought.
- Let \( y \) be the number of shirts Lisa bought.

### Equations based on the conditions:
1. "The number of shirts is two less than twice the number of pants":
   \[
   y = 2x - 2
   \]
2. "The number of shirts is four less than four times the number of pants":
   \[
   y = 4x - 4
   \]

### Solving the system of equations:
We have two equations:
1. \( y = 2x - 2 \)
2. \( y = 4x - 4 \)

Since both expressions represent \( y \), we can set them equal to each other:
\[
2x - 2 = 4x - 4
\]

Solving for \( x \):
\[
2x - 2x - 2 = 4x - 2x - 4
\]
\[
-2 = 2x - 4
\]
\[
2x = 2
\]
\[
x = 1
\]

Now, substitute \( x = 1 \) into one of the original equations to find \( y \). Using the first equation:
\[
y = 2(1) - 2 = 0
\]

### Solution:
Lisa bought 1 pair of pants and 0 shirts.

Would you like a more detailed explanation or help with other related problems?

### Related questions:
1. How can we verify if the solution is correct for both equations?
2. What happens if both conditions seem unrealistic in a real shopping situation?
3. How could the conditions change if she bought a minimum of 1 shirt?
4. Could you form a similar problem but with different proportional relationships between shirts and pants?
5. What if the conditions involved total price instead of the number of items?

**Tip:** Always check your final solution by plugging the values back into both original conditions.

Lisa besucht ein Outlet um Hosen und Shirts zu kaufen. Die Anzahl der Shirts ist um zwei geringer als das Doppelte der gekauften Hosen. Außerdem ist die Anzahl der Shirts um vier geringer als das Vierfache der gekauften Hosen. Wie viele Shirts und Hosen hat Lisa gekauft?

This problem involves solving a system of equations where Lisa buys pants and shirts. The number of shirts is two less than twice the number of pants and four less than four times the number of pants. Suitable for Grades 8-10, this exercise focuses on algebra and system of equations.

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