A sum of 3000 is to be given in the form of 63 prizes. If the prize money is either 100
ore 25. Find the number of
prizes of each type.
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Answer:
Let the number of prizes of money 100 be x, and the number of prizes of cost 25 is y ;
x+y = 63
y = 63-x -------(1)
100x+25y = 3000
4x+y = 120
y = 120-4x ------(2)
63-x = 120-4x
4x-x = 120-63
3x = 57
x = 19
y = 63-x = 63-19
y = 44
Hence the number of prizes of cost 100 each are 19 while other types of prizes are 44
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