A village puzzle

Population of the pagalpur village is 500.

Its a very poor village so sahara group organized a beneficiary cricket match for these people.
The event raised Rs300000.

Tickets were priced as follows:
Rs 748 for males
Rs 712 for ladies
Rs 45 for kids

let a be the number of males, b be the number of females, c be the number of kids
find the value of a^2 + b^3 + c ^4


The answer is 89035476.

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1 solution

Vinod Kumar
Jun 5, 2018

Diophantine solution to 748.a+712.b+45.c=300000, a+b+c=500, gave answer as a=149, b=259 and c=92, which gives a^2+b^3+c^4=89035476

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