A sum of Rs.2700 is to be given in the form of 63 prizes If the prizes is of either 100 or 25 ,find the number of prizes of each type.
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Answer:
Since we have given that
Number of prizes = 63
Prize amount = Rs. 2700
Prize value can be of Rs. 100 or Rs.25
Let the number of prizes for Rs. 100 be 'x'.
Let the number of prizes for Rs. 25 be '63-x'.
According to question, we get
100'x' +25( 63 - 'x' ) =2700
100'x' +1575 - 25'x' =2700
75'x' =2700-1575
75'x' =1125
'x' = 1125÷75 = 15
So, Number of prizes for Rs. 25 would be
63-15= 48
Hence, there are 15 prizes for Rs. 100 and 48 prizes for Rs. 25.
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