At a dinner party every two guests used a bowl of rice between them, every three guests used a bowl of daal 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 ?
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Final Answer: 60
Steps :
1) Let the no. of guests in the party be 'k'.
And,
No. of Rice Bowl = x
No. of Dal Bowl = y
No. of Meat Bowl = z
2) We know that,
One rice bowl is shared between every two people.
=> x = k/2
Similarly,
y = k/3 and z = k/4 .
3) Also,
No. of total dishes = 65
=> x + y + z = 65
=> k/2 + k/3 + k/4 = 65
=> 13k/12 = 65
=>k = 60
Hence,
No. of guests in the party are 60.
Steps :
1) Let the no. of guests in the party be 'k'.
And,
No. of Rice Bowl = x
No. of Dal Bowl = y
No. of Meat Bowl = z
2) We know that,
One rice bowl is shared between every two people.
=> x = k/2
Similarly,
y = k/3 and z = k/4 .
3) Also,
No. of total dishes = 65
=> x + y + z = 65
=> k/2 + k/3 + k/4 = 65
=> 13k/12 = 65
=>k = 60
Hence,
No. of guests in the party are 60.
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