There are three pieces of cake weighing 5/3 lbs,23/4 lbs and 21/15 lbs. The pieces are equally divided and distributed in such a manner that every guest in the party gets one single piece of the cake. Further the weight of each piece of the cake is as heavy as possible. How many guests attended the party?
Explanation:
Since the weight of the cake was as heavy as possible, it can be obtained by finding the H.C.F. of the three fractions.
To calculate HCF of fractions, first we need to simplify the fractions and then, HCF of fractions = HCF of NumeratorsLCM of Denominators
∴H.C.F53,234, 75 = HCF(5,23,7)LCM(3, 4, 5) = 160
Now, since each guest received 1/60 lbs of cake,
The number of guests who attended the party = 53+234+2115160 = 529.
Hence, 529.
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