Yeh Sama 3000 is to be given in the form of 63 price is the prize money is there hundred or 25 find the number of prices of each type
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Yeh Sama 3000 is to be given in the form of 63 price is the prize money is there hundred or 25 find the number of prices of each type
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Let the number of prizes each of Rs.100 be x, and the number of prizes each of Rs.25 be y ;
then by question,
x + y = 63
y = 63 - x -------(1)
Cost of x prizes each of Rs.100= 100x
Cost of y prizes each of Rs.25 = 25y
Therefore, 100x + 25y = 3000
25(4x+y) = 3000
4x + y = 3000/25 = 120
y = 120 - 4x ------(2)
Replacing y = 63-x as per eq1), we have
63 - x = 120 - 4x
4x - x = 120 - 63
3x = 57
x = 19
Hence y = 63-x = 63-19
y = 44
Thus the number of prizes each of Rs.100 = 19
& the numer of peizes each of Rs.25 = 44
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