Question

A set of microphones and headphones is shown.






Which statement about the microphones and headphones is true?
Responses

A The ratio of headphones to microphones is 2:3.The ratio of headphones to microphones is 2:3.

B The ratio of microphones to headphones 1:2.The ratio of microphones to headphones 1:2.

C The ratio of headphones to all items is 6:10.The ratio of headphones to all items is 6:10.

D The ratio of microphones to all items is 4:10.The ratio of microphones to all items is 4:10. 6 microphones 4 headphones

Answer 1

To evaluate the statements based on the given information—6 microphones and 4 headphones—we can calculate the ratios mentioned in each response.

1. **Total items:**
Total items = 6 microphones + 4 headphones = 10 items.

2. **Ratio of headphones to microphones (Statement A):**
The ratio is 4 headphones to 6 microphones, which simplifies to 2:3.
So, **Statement A is true.**

3. **Ratio of microphones to headphones (Statement B):**
The ratio of microphones to headphones is 6 microphones to 4 headphones, which simplifies to 3:2.
So, **Statement B is false.**

4. **Ratio of headphones to all items (Statement C):**
The ratio of headphones to all items is 4 headphones to 10 total items, which simplifies to 2:5.
So, **Statement C is false.**

5. **Ratio of microphones to all items (Statement D):**
The ratio of microphones to all items is 6 microphones to 10 total items, which simplifies to 3:5.
So, **Statement D is false.**

The only true statement is **A: The ratio of headphones to microphones is 2:3.**