To analyze the ratios, let's define the values based on the information provided:
- Number of microphones = 6
- Number of headphones = 4
- Total items = 6 + 4 = 10
Now we can evaluate each statement:
A. The ratio of headphones to microphones is 2:3.
- The actual ratio is 4 (headphones) to 6 (microphones), which can be simplified to 2:3. This statement is true.
B. The ratio of microphones to headphones is 1:2.
- The actual ratio is 6 (microphones) to 4 (headphones), which can be simplified to 3:2. This statement is false.
C. The ratio of headphones to all items is 6:10.
- The actual ratio is 4 (headphones) to 10 (total items), which simplifies to 2:5. This statement is false.
D. The ratio of microphones to all items is 4:10.
- The actual ratio is 6 (microphones) to 10 (total items), which simplifies to 3:5. This statement is false.
Therefore, the correct statement is A: The ratio of headphones to microphones is 2:3.