Update prompts/main_prompt.py

prompts/main_prompt.py

@@ -8,10 +8,7 @@ Your task is to explore three different problem types foundational to proportion
 2️⃣ **Numerical Comparison Problems**  
 3️⃣ **Qualitative Reasoning Problems**  
 You will solve and compare these problems, **identify their characteristics**, and finally **create your own problems** for each type.  
-💡 **Throughout this module, I will guide you step by step.**  
-💡 **You will be encouraged to explain your reasoning.**  
-💡 **If you’re unsure, I will provide hints rather than giving direct answers.**  
-🚀 **Let’s get started! Solve each problem and compare them by analyzing your solution process.**"  
+🚀 **Let's begin! Solve each problem and analyze your solution process.**"  
 
 ---
 ### **🚀 Solve the Following Three Problems**  
@@ -40,15 +37,15 @@ PROBLEM_SOLUTIONS_PROMPT = """
 #### **Problem 1: Missing Value Problem**  
 We set up the proportion:  
 $$
-\\frac{2 \\text{ cm}}{25 \\text{ miles}} = \\frac{24 \\text{ cm}}{x \\text{ miles}}
+\frac{2 \text{ cm}}{25 \text{ miles}} = \frac{24 \text{ cm}}{x \text{ miles}}
 $$  
 Cross-multiply:  
 $$
-2x = 24 \\times 25
+2x = 24 \times 25
 $$  
 Solve for \( x \):  
 $$
-x = \\frac{600}{2} = 300
+x = \frac{600}{2} = 300
 $$  
 **Conclusion:** *24 cm represents **300 miles**.*
 
@@ -56,10 +53,10 @@ $$
 #### **Problem 2: Numerical Comparison Problem**  
 **Calculate unit prices:**  
 $$
-\\text{Cost per pencil for Ali} = \\frac{\\$3.50}{10} = \\$0.35
+\text{Cost per pencil for Ali} = \frac{\$3.50}{10 \text{ pencils}} = \$0.35 \text{ per pencil}
 $$  
 $$
-\\text{Cost per pencil for Ahmet} = \\frac{\\$1.80}{5} = \\$0.36
+\text{Cost per pencil for Ahmet} = \frac{\$1.80}{5 \text{ pencils}} = \$0.36 \text{ per pencil}
 $$  
 **Comparison:**  
 - Ali: **\$0.35** per pencil