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(#M40158938) KANGAROO MATH Numerical Ability question no. puzzle Keep an EYE

The tango is danced in pairs, each consisting of 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 are dancing at that moment?
(A) 20 (B) 24 (C) 30 (D) 32 (E) 46

Asked In kangaroo math aniqa sul (8 years ago)

Unsolved Read Solution (1)

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Read Solution (1) :

Devendra Marghade  (8 years ago)

(B) 24

Let total number of men=x and women=y, then
Dancing men=(3/4)x and women=(4/5)y
As dancing men= Dancing women => (3/4)x =(4/5)y or 15x=16y
This condition satisfies for x=16 & y=15 where it is given, x+y is less than equal to 50.
So total people dancing=(3/4)x + (4/5)y =(3/4)*16 + (4/5)*15= 24

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