Question

At party colas squash and fruit juice were offered to guests. A fourth of the guest drank colas,a third drank squash two fifth drank fruit juice and just three did not drink anything. How many guests were in all

Answer 1

Let there were x no. of guests.
Then 1/4*x had Coles,
1/3*x had squash &
2/5*x had fruit juice .
3 guests didn't had any of them.
Then total no. of guests ,those who had any of them is =1/4*x+1/3*x+2/5*x
=x(1/4+1/3+2/5)
=x(15+20+24)/60
=x*59/60
Then rest of guests are=x-x*59/60
=x/60
But we know 3 guests didn't had anything.
So,
x/60=3
or x=3*60
=180 (ans)

Answer 2

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