Martin applied for a job at 15 companies, of which 80 percent responded. Of those companies responding, 25 percent invited him for an interview. How many companies invited him for an interview?

Rationale

Martin was invited for interviews by 3 companies.

To determine how many companies invited Martin for an interview, we first calculate the number of companies that responded to his application and then find 25% of that number. With 15 companies applied to and 80% responding, the calculation leads us to the final result.

A (2) YOUR ANSWER

If Martin had received invitations from 2 companies, that would imply he was invited by 25% of the total number of companies that responded. However, this would only account for 8% of the original 15 companies, which does not align with the provided percentages.

B (3) CORRECT

This choice correctly reflects the computation: 80% of 15 companies equals 12 responding companies. Then, 25% of those 12 results in 3 companies inviting him for an interview.

C (4) YOUR ANSWER

If 4 companies invited Martin for an interview, that would mean 33.33% of the 12 responding companies, which is not consistent with the 25% invitation rate stated in the problem. Thus, this choice is incorrect.

D (5) YOUR ANSWER

Selecting 5 companies would indicate an invitation rate of 41.67% of the 12 companies that responded. This rate exceeds the specified 25% and therefore cannot be the correct answer for the number of interviews.

Conclusion

Through the calculations of responses and interview invitations based on given percentages, it is clear that Martin received invitations from 3 companies. Each incorrect option fails to align with the stated percentage criteria, emphasizing the importance of accurate calculations in solving percentage-based problems.

Martin applied for a job at 15 companies, of which 80 percent responded. Of those companies responding, 25 percent invited him for an interview. How many companies invited him for an interview?

Martin was invited for interviews by 3 companies.

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