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?

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wergompol23869 wergompol23869 · Answer 1 · 2020-07-09T01:18:01+02:00

Answer:

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!