One-quarter of the Math Olympiad participants are two-thirds of the Genius Circle students. Eight Genius Circle students did not participate in the Olympiad. What is the total number of students who participated in the Math Olympiad?

64

Step-by-step explanation:

This question is actually not hard just requires careful calculations.

So we know that 1/4 of MO (Math Olympiad) = 2/3 of GC (Genius Circle)

It also gives that 8 GC Members did not go to MO

So using these statements, we can find that

a. 1/3 of GC = 8 members --> and

b. 2/3 of GC = 16 which makes -->

c. 1/4 of MO = 16

Using these statements we can simply calculate 16 x 4 = 4/4 = 1

1 = Total amt. of participants in the MO => 16(4)

64

Hope this helps!

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