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.

Answer 1

I don't have the numbers or picture showing how many microphones and headphones there are, so I can't tell which option is correct. Could you paste the counts or the image?

How to check once you have the counts:
- Let H = number of headphones, M = number of microphones, Total = H + M.
- A (H:M = 2:3) is true if H/M = 2/3 (i.e. H = 2k, M = 3k for some k).
- B (M:H = 1:2) is true if M/H = 1/2 (i.e. M = k, H = 2k).
- C (H:Total = 6:10) is true if H/Total = 6/10 = 3/5.
- D (M:Total = 4:10) is true if M/Total = 4/10 = 2/5.

Example: if H = 6 and M = 4, then Total = 10. C and D would both be true (H:Total = 6:10, M:Total = 4:10); A and B would be false. Provide the counts and I’ll pick the correct option(s).