Mathematical 7136

Out of 50 pupils, 44 solved at least one of the Olympiads - MO Mathematical Olympiad and BO Biology Olympiad. Twenty pupils still need to solve the MO. Of those who dealt with both Olympiads, 1/3 of those who dealt with just one were. How many pupils solved only MO, only BO? How many were solved by MO and BO at the same time?

Correct answer:

s =  11

Step-by-step explanation:


s = 1/3 · p
p+s = 44

p-3s = 0
p+s = 44

Row 2 - Row 1 → Row 2
p-3s = 0
4s = 44


s = 44/4 = 11
p = 0+3s = 0+3 · 11 = 33

p = 33
s = 11

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