Question

At a dinner party every two guests used a dish of rice between them. Every three guests used a dish of Dahl and every four used a dish of meat between them. There were altogether 65 dishes.
How many guests were present​

Answer 1

Let the total number of guests be x. Then,

Number of bowls of rice =

2

x

Number of bowls of dal =

3

x

Number of bowls of meat =

4

x

∴

2

x

+

3

x

+

4

x

=65

⟹

12

6x+4x+3x

=65

⟹

12

13x

=65

⟹x=60

Therefore, 60 guests were present at the party

Hence, option (A) is the correct answer.

Answer 2

Answer:

Let the total 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

∴

x/2 + x/3 + x/4

=65

⟹ 6x+4x+3x/12

=65

⟹13x /12

=65

⟹x=60

Therefore, 60 guests were present at the party