18. If 22 1/3% of a number n is 938, then n must be
Answer: D
n must be 4,200
To find the number n, we can set up the equation where 22 1/3% of n equals 938. This can be calculated as (22.33/100) * n = 938, which simplifies to n = 4,200.
A) 281,400
This option is incorrect as it greatly exceeds the value we calculated. If 22 1/3% of 281,400 were calculated, it would yield a significantly larger result than 938.
B) 42,000
This option is also incorrect. Calculating 22 1/3% of 42,000 results in 9,400, which is much higher than 938, indicating that this value does not satisfy the initial condition.
C) 4,960
Option C does not hold true either. When calculating 22 1/3% of 4,960, it equals approximately 1,107, which is again far from the stated 938, thus making this option incorrect.
D) 4,200
This option is correct as it directly solves the equation. When calculating 22 1/3% of 4,200, it equals 938, which perfectly matches the condition provided in the question.
Conclusion
The correct answer is 4,200 because it accurately satisfies the equation derived from the percentage statement. All other options either exceed or fall short of the required value, confirming that they cannot be correct. Thus, option D is the only viable solution.