A set of microphones and headphones is shown.

Question

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.