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 ?
A. 60
B. 65
C. 90
D. None of these

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 ?
A. 	60
B. 	65
C. 	90
D. 	None of these

goformit100 · Answer

@Noemi95

abb0t · Answer

$$\frac{ x }{ 2 } + \frac{ x }{ 3 } + \frac{ x }{ 4 } = 65x$$

anonymous · Answer

A.60
Let the number of guests be x. Then,
number of bowls of rice=x/2; number of bowls of dal=x/3;
number of bowls of meat=x/4
So, x/2+x/3+x/4=65 -> 6x+4x+3x/12=65 -> 13x=65*12 
x=65*12/13=60