Question
it’s 6 microphones and 4 headphones 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.
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.
Answers
GPT-4o mini
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.
- 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.