Update prompts/main_prompt.py

prompts/main_prompt.py

@@ -37,7 +37,7 @@ PROBLEM_SOLUTIONS_PROMPT = """
 #### **Problem 1: Missing Value Problem**  
 We set up the proportion:  
 $$
-\frac{2 \,\text{cm}}{25 \,\text{miles}} = \frac{24 \,\text{cm}}{x \,\text{miles}}
+\frac{2}{25} = \frac{24}{x}
 $$  
 Cross-multiply:  
 $$
@@ -45,7 +45,7 @@ $$
 $$  
 Solve for \( x \):  
 $$
-x = \frac{600}{2} = 300
+x = \frac{24 \times 25}{2}
 $$  
 or using division:  
 $$
@@ -57,10 +57,10 @@ $$
 #### **Problem 2: Numerical Comparison Problem**  
 **Calculate unit prices:**  
 $$
-\text{Cost per pencil for Ali} = \frac{\$3.50}{10} = \$0.35
+\text{Cost per pencil for Ali} = \frac{3.50}{10} = 0.35
 $$  
 $$
-\text{Cost per pencil for Ahmet} = \frac{\$1.80}{5} = \$0.36
+\text{Cost per pencil for Ahmet} = \frac{1.80}{5} = 0.36
 $$  
 or using the division symbol:  
 $$