Update prompts/main_prompt.py

prompts/main_prompt.py

@@ -25,39 +25,39 @@ You will solve and compare these problems, **identify their characteristics**, a
 ### **🚀 Step-by-Step Solutions**
 #### **Problem 1: Missing Value Problem**  
 We set up the proportion:  
-\[
+$$
 \frac{2}{25} = \frac{24}{x}
-\]  
+$$  
 Cross-multiply:  
-\[
+$$
 2 \times x = 24 \times 25
-\]  
+$$  
 Solve for \( x \):  
-\[
+$$
 x = \frac{24 \times 25}{2} = \frac{600}{2} = 300
-\]  
+$$  
 or using division:  
-\[
+$$
 x = 600 \div 2 = 300
-\]  
+$$  
 **Conclusion:** *24 cm represents **300 miles**.*
 
 ---
 #### **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 Ahmet} = \frac{1.80}{5} = 0.36
-\]  
+$$  
 or using the division symbol:  
-\[
+$$
 \text{Cost per pencil for Ali} = 3.50 \div 10 = 0.35
-\]  
-\[
+$$  
+$$
 \text{Cost per pencil for Ahmet} = 1.80 \div 5 = 0.36
-\]  
+$$  
 **Comparison:**  
 - Ali: **\$0.35** per pencil  
 - Ahmet: **\$0.36** per pencil