In a party if 1 out of every 3 guests brought bouquets,1 out of 5 brought gift items,1 out of 6 gave cash gifts and the remaining 27 guest gave gift vouchers and none of them gave two things. How many people attended the party?

Dear Student,

Please find below the solution to the asked query:

Let total number of people attend the party  = n , So

From given condition we get

n3 + n5 + n6 + 27 = n 10 n + 6 n + 5 n30+ 27 = n 10 n + 6 n + 5 n+ 810 30= n 21 n+ 810 30= n 21 n+ 810 = 30 n 9 n = 810n = 8109n = 90
Therefore,

Total number of people attend the party  = 90                                             ( Ans )

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33 people attended the party
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