I think you will certainly get confused

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In a party of boys and girls, all of them wore either red dress or blue dress. Two-third of them are boys. Three-Fourth of boys wore red dress, and remaining boys wore blue dress. Among girls, half of them wore red dress and remaining 4 girls wore blue dress. How many members are present at the party?

24 18 30 36 48

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1 solution

This is a very simple problem but its made a bit confusing while framing it.

Let the total members be 'n'.

No. of boys= (2/3)*n

Boys wearing red dress= (3/4) (2/3) n = (1/2)*n

Boys wearing blue dress= (1/4) (2/3) n = (1/6)*n

No. of girls= (1/3)*n

Girls wearing red dress= (1/2) (1/3) n= (1/6)*n

Girls wearing blue dress= 4

Total members = boys+girls = boys(red)+boys(blue)+girls(red)+girls(blue)

n = (1/2) n + (1/6) n + (1/6)*n + 4

n = (3n+n+n+24)/6

6n = 5n + 24

n=24

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