# Relatives who had gathered for a party had one bowl of rice between two, one bowl of dal among three, one bowl of vegetable among five and one bowl of shreekhand among six. In all they ordered 108 bowls of eatables; and no food was wasted or was it short. How many relatives were present in all

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by dink

## Answers

2015-11-06T08:05:39+05:30

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One bowl of rice is shared between 2
one bowl of dal is shared between 3
one bowl of vegetable is shared between 5
one bowl of shreekhand is shared between 6
for no wastage, minimum number of people required = LCM of 2,3,5,6

LCM of 2,3,5.6 = 2*3*5 = 30
If there were 30 people,
number of rice bowl = 30/2 = 15
number of dal bowl = 30/3 = 10
number of vegetable bowl = 30/5 = 6
number of shreekhand bowl = 30/6 = 5
total bowl in 30 people = 10+15+5+6 = 36

Given that total number of bowls = 108
total people = 108/36 * 30 = 90 people

So there were total 90 relatives.