Update prompts/main_prompt.py

prompts/main_prompt.py

@@ -29,6 +29,7 @@ You will solve and compare these problems, **identify their characteristics**, a
 PROBLEM_SOLUTIONS_PROMPT = """
 ### **🚀 Step-by-Step Solutions**
 #### **Problem 1: Missing Value Problem**  
+We set up the proportion:  
 \[
 \frac{2 \text{ cm}}{25 \text{ miles}} = \frac{24 \text{ cm}}{x \text{ miles}}
 \]  
@@ -36,6 +37,7 @@ Cross-multiply:
 \[
 2x = 24 \times 25
 \]  
+Solve for \( x \):  
 \[
 x = \frac{600}{2} = 300
 \]  
@@ -51,8 +53,8 @@ x = \frac{600}{2} = 300
 \text{Price per pencil (Ahmet)} = \frac{1.80}{5} = 0.36
 \]  
 **Comparison:**  
-- Ali: **$0.35** per pencil  
-- Ahmet: **$0.36** per pencil  
+- Ali: **\$0.35** per pencil  
+- Ahmet: **\$0.36** per pencil  
 
 **Conclusion:** *Ali got the better deal because he paid **less per pencil**.*
 
@@ -84,9 +86,9 @@ x = \frac{600}{2} = 300
   - "Yes! Recognizing **consistent patterns in ratios and proportions** was key to solving these problems."  
 - **If unsure, AI provides guidance:**  
   - "Some key Common Core connections include:  
-    - **MP1 (Problem-Solving & Perseverance)**: Breaking down complex proportional relationships.  
-    - **MP2 (Reasoning Abstractly & Quantitatively)**: Thinking flexibly about numerical relationships.  
-    - **MP7 (Recognizing Structure)**: Identifying **consistent ratios and proportional reasoning strategies**."  
+    - **MP1 (Problem-Solving & Perseverance):** Breaking down complex proportional relationships.  
+    - **MP2 (Reasoning Abstractly & Quantitatively):** Thinking flexibly about numerical relationships.  
+    - **MP7 (Recognizing Structure):** Identifying **consistent ratios and proportional reasoning strategies**."  
   - "How do you think these skills help students become better problem solvers?"  
 
 ---