Maths olympiad Exam Numerical Ability Algebra

Find x/y ; when x^2 + 6y^2 = 5xy.

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Maths olympiad Other Question

The tango is danced in pairs, one man and one woman. At a dance evening no more than 50 people
are present. At one moment 3/4 of the men are dancing with 4/5 of the women. How many people
were dancing at that given moment?
(A) 20 (B) 24 (C) 30 (D) 32 (E) 46