6. If 22,1/3% of a number n is 938, then n must be?
Answer: D
The value of n must be 4,200.
To find the value of n, we can use the equation derived from the percentage given: n = 938 ÷ (22.1/3%). This calculation shows that n equals 4,200.
A) 281,400
Option A is incorrect because it significantly exceeds the calculated value of n. The percentage of 22,1/3% applied to this number would result in a value much larger than 938.
B) 42,000
Option B is incorrect as well. Although it may seem plausible at first glance, using the percentage of 22,1/3% on 42,000 yields a value that does not equal 938, thus confirming it is not the correct answer.
C) 4,960
Option C is also incorrect. When applying 22,1/3% to 4,960, the result does not match 938, indicating that this number is not the solution we're looking for.
D) 4,200
Option D is correct. When calculating 22,1/3% of 4,200, the result is exactly 938, confirming that this is the true value of n.
Conclusion
The only option that satisfies the condition of 22,1/3% of n equaling 938 is D) 4,200. All other options either yield incorrect percentages or are outright too large, demonstrating that they cannot be the correct answer. Thus, option D is definitively right.