https://file.aiquickdraw.com/mathbot/file/1727453427993pnbkz2c6.jpg

This image shows a puzzle requiring the user to follow the correct path by solving ratio-related questions. To assist with solving the puzzle and unlocking the code, I'll guide through solving the ratios step by step.

1. **Start (5:2 = 15:__)**
   \[
   \frac{5}{2} = \frac{15}{x} \quad \Rightarrow \quad x = 6
   \]
   Start to **A**.

2. **A to B (A ratio of 2:6 is equivalent to 8:__)**
   \[
   \frac{2}{6} = \frac{8}{x} \quad \Rightarrow \quad x = 24
   \]
   A to **B**.

3. **B to E (33:21 = 11:__)**
   \[
   \frac{33}{21} = \frac{11}{x} \quad \Rightarrow \quad x = 7
   \]
   B to **E**.

4. **E to H (3:4 = __:8)**
   \[
   \frac{3}{4} = \frac{x}{8} \quad \Rightarrow \quad x = 6
   \]
   E to **H**.

5. **H to K (34:18 = 17:__)**
   \[
   \frac{34}{18} = \frac{17}{x} \quad \Rightarrow \quad x = 9
   \]
   H to **K**.

6. **K to Finish (16:9)**
   This is correct since the ratio remains the same, so proceed to Finish.

Now that we've completed the puzzle, the code will be the sequence of letters we followed: **A, B, E, H, K**.

Would you like a detailed explanation for any step? Here are some related questions to expand your understanding:

1. What are other common ways to solve ratios?
2. How can ratios be used in real-world problems?
3. What is a proportional relationship, and how does it relate to ratios?
4. How do you simplify complex ratios?
5. What are some examples of equivalent ratios?

**Tip:** When solving ratio problems, always remember to cross-multiply and divide to find the unknown term!

Solve the puzzle by following the path of ratios and unlocking the code. The goal is to find the correct ratio values to progress through the grid.

This puzzle challenges students to solve ratio and proportion problems to find the correct path and unlock the code. Suitable for students in Grades 5-7, it helps strengthen understanding of ratios, equivalent ratios, and proportional reasoning.

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