https://file.aiquickdraw.com/mathbot/file/17303356178392scbf41j.jpg

To determine the correct answer, we first need to find the student-to-teacher ratio given in the problem.

### Step 1: Calculate the Initial Ratio
The school has:
- **1,360 students**
- **80 teachers**

So, the ratio of students to teachers is:
\[
\frac{1360}{80} = 17 \text{ students per teacher}
\]

### Step 2: Identify Equivalent Ratios
Now, let's check each of the provided options to see which match this ratio.

1. **170 students to 10 teachers**  
   \(\frac{170}{10} = 17\) — This matches the original ratio.

2. **2 students to 34 teachers**  
   \(\frac{2}{34} = \frac{1}{17} \neq 17\) — This does not match.

3. **34 students to 2 teachers**  
   \(\frac{34}{2} = 17\) — This matches the original ratio.

4. **10 students to 170 teachers**  
   \(\frac{10}{170} = \frac{1}{17} \neq 17\) — This does not match.

### Conclusion
The two ratios that are equivalent to the original are:
- **170 students to 10 teachers**
- **34 students to 2 teachers**

Would you like further details or have any questions?

### Related Questions
1. How do you simplify ratios in general?
2. Why is it important to compare ratios in real-world scenarios?
3. How can ratios be applied in classroom settings beyond student-teacher ratios?
4. What are some other practical examples where ratios are commonly used?
5. How do you convert a ratio into a fraction or percentage?

### Tip
When simplifying ratios, divide both terms by their greatest common divisor (GCD) to get the simplest form.

Which ratios are equivalent to the one given in the scenario? A school has 1,360 students and 80 teachers.

Learn how to determine equivalent ratios for a student-teacher ratio problem, using the example of a school with 1,360 students and 80 teachers. Find out which ratios match the original ratio in this easy-to-follow solution.

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