7. If 32% of n is 20.8, what is n?

Answer: B

Explanation:

n is 65

To find n, we set up the equation 0.32n = 20.8. Solving for n gives us n = 20.8 / 0.32, which simplifies to n = 65.

A) 64

Option A is incorrect because if n were 64, then 32% of 64 would be 20.48 (0.32 * 64), which does not equal 20.8.

B) 65

Option B is correct as it satisfies the equation. When we calculate 32% of 65, we get 20.8 (0.32 * 65), which confirms that n = 65 is accurate.

C) 66

Option C is incorrect because 32% of 66 results in 21.12 (0.32 * 66), which is not equal to 20.8. Thus, it does not satisfy the required condition.

D) 154

Option D is also incorrect since 32% of 154 calculates to 49.28 (0.32 * 154), which is far from 20.8 and, therefore, does not meet the condition.

Conclusion

The correct answer is 65, as it is the only option that correctly fulfills the condition stated in the question. All other options fail to provide the correct value when 32% is calculated, thereby confirming that 65 is the definitive solution.