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.
Verbal Reasoning
Arithmetic Reasoning
Difficulty: Easy
Choose an option
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A60
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B65
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C90
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DNone of these
Answer
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
EquationN/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 Answer60