Question

Twelve students earned A's. This was 3/8 of the students in the class. What percent of the students did not earn A's?

Answer 1

62.5% of the class

Explanation:

If 12 students is 3/8 of the class, the ones who earned A's, then 5/8 did not earn A's.

Let c represent the total number of students in the class.

Then (3/8)c = 12, and c = (8/3)(12) = 32.

5/8 of these 32 students did not earn A's: (5/8)(32) = 20.

These 20 students constitute 20/32 of the class, or 0.625 of the class, or 62.5% of the class.