Hi All,

Since the question asks for the total number of students in the class, and the answer choices are numbers, we can TEST THE ANSWERS.

From the prompt, we know that the current ratio of math-majors to non-math-majors is 2:5. This means that the number of math-majors MUST be a multiple of 2 and the number of non-math-majors MUST be an equivalent multiple of 5. By extension, the TOTAL number of students MUST be a multiple of 7. We're then told that adding 2 math majors to the class with change the ratio to 1:2

Since the total number of students MUST be a multiple of 7, we can eliminate Answers A and B.

Let's TEST Answer D.....

IF.....

There are 28 total students.....

math-majors = 8

non-math-majors = 20

Adding 2 more math-majors --> 8+2 = 10

Ratio of math-majors to non-math-majors is now 10:20, which is 1:2

This is a MATCH to what we were told, so this MUST be the answer.

Final Answer:

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Rich

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