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Arithmetic word problem — shared dishes at a party: Compute the number of guests from combined dish counts. Every 2 guests shared 1 bowl of rice; every 3 guests shared 1 bowl of dal; every 4 guests shared 1 bowl of meat. Altogether, the total number of dishes used was 65. How many guests attended the dinner? Choose the correct number of guests.

Difficulty: Easy

60
65
90
None of these

Correct Answer: 60

Explanation:

Let the number of guests be N

Bowls of rice = N/2
Bowls of dal = N/3
Bowls of meat = N/4
Total dishes = 65

Equation
N/2 + N/3 + N/4 = 65N × (1/2 + 1/3 + 1/4) = 651/2 + 1/3 + 1/4 = (6 + 4 + 3)/12 = 13/12N × (13/12) = 65 ⇒ N = 65 × 12 / 13 = 60

Final Answer
60

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