Question

at a dinner party every two guests used a bowl of rice between them every three guests used a bowl of dal between them and every four used a bowl of meat between them. there were altogether 65 dishes. how many guests were present at the party?

Answer 1

Let,

no. of rice bowl = x

no. of dal bowl = y

no. of meat bowl = z

Then, x + y + z = 65 ....(1)

Also given that, 2x = 3y = 4z

substituting value of y & z in terms of x i.e. y = 2x/3 and z = x/2 in eq (1),

We get x = 30.

As 1 rice bowl is shared between 2 guests,

Therefore, there are 60 guests.