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Update prompts/main_prompt.py

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  1. prompts/main_prompt.py +10 -10
prompts/main_prompt.py CHANGED
@@ -30,28 +30,28 @@ PROBLEM_SOLUTIONS_PROMPT = """
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  ### **🚀 Step-by-Step Solutions**
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  #### **Problem 1: Missing Value Problem**
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  We set up the proportion:
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- \[
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  \frac{2 \text{ cm}}{25 \text{ miles}} = \frac{24 \text{ cm}}{x \text{ miles}}
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- \]
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  Cross-multiply:
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- \[
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  2x = 24 \times 25
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- \]
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  Solve for \( x \):
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- \[
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  x = \frac{600}{2} = 300
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- \]
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  **Conclusion:** *24 cm represents **300 miles**.*
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  ---
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  #### **Problem 2: Numerical Comparison Problem**
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  **Calculate unit prices:**
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- \[
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  \text{Price per pencil (Ali)} = \frac{\$3.50}{10} = \$0.35
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- \]
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- \[
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  \text{Price per pencil (Ahmet)} = \frac{\$1.80}{5} = \$0.36
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- \]
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  **Comparison:**
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  - Ali: **\$0.35** per pencil
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  - Ahmet: **\$0.36** per pencil
 
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  ### **🚀 Step-by-Step Solutions**
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  #### **Problem 1: Missing Value Problem**
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  We set up the proportion:
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+ $$
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  \frac{2 \text{ cm}}{25 \text{ miles}} = \frac{24 \text{ cm}}{x \text{ miles}}
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+ $$
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  Cross-multiply:
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+ $$
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  2x = 24 \times 25
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+ $$
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  Solve for \( x \):
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+ $$
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  x = \frac{600}{2} = 300
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+ $$
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  **Conclusion:** *24 cm represents **300 miles**.*
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  ---
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  #### **Problem 2: Numerical Comparison Problem**
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  **Calculate unit prices:**
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+ $$
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  \text{Price per pencil (Ali)} = \frac{\$3.50}{10} = \$0.35
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+ $$
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+ $$
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  \text{Price per pencil (Ahmet)} = \frac{\$1.80}{5} = \$0.36
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+ $$
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  **Comparison:**
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  - Ali: **\$0.35** per pencil
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  - Ahmet: **\$0.36** per pencil