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This problem involves using a ratio to determine how many speedboats a dealer sells given the number of fishing boats sold.

### Given:
- The dealer sells **5 fishing boats for every 2 speedboats**.
- Denise wants to know how many speedboats are sold if the dealer sells **30 fishing boats**.

### Step-by-Step Solution:
1. We know the ratio of fishing boats to speedboats is \(5:2\).
2. If the dealer sells 30 fishing boats, we can set up a proportion based on this ratio:
   \[
   \frac{5 \, \text{fishing boats}}{2 \, \text{speedboats}} = \frac{30 \, \text{fishing boats}}{x \, \text{speedboats}}
   \]
3. Now, solve for \(x\) (the number of speedboats):
   \[
   \frac{5}{2} = \frac{30}{x}
   \]
4. Cross multiply:
   \[
   5x = 60
   \]
5. Solve for \(x\):
   \[
   x = \frac{60}{5} = 12
   \]

### Answer:
The dealer sells **12 speedboats** when 30 fishing boats are sold.

Would you like any further details or have any other questions?

Here are some related questions to expand your understanding:
1. What is the total number of boats sold when 30 fishing boats and 12 speedboats are sold?
2. If the dealer sold 60 fishing boats, how many speedboats would be sold?
3. What is the ratio of speedboats to fishing boats?
4. If Denise used the same model for 45 fishing boats, how many speedboats would the dealer sell?
5. How can the ratio \(5:2\) be represented visually in a bar model?

**Tip:** When solving ratio problems, setting up a proportion is a useful strategy to find unknown quantities.

How can Denise use her model to find the number of speedboats the dealer sells if it sells 30 fishing boats? A boat dealer sells 5 fishing boats for every 2 speedboats it sells.

Learn how to determine the number of speedboats sold when a dealer sells 30 fishing boats using a ratio of 5 fishing boats to 2 speedboats. A step-by-step solution involving proportions and cross-multiplication is provided. Suitable for Grades 5-7.

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