A sum of rs 3000 is to be given in the form of 63 prizes. if the prize money is either 100 nor 25 . find the number of prizes for each type
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X= number of rs.100 prices
Y=Number of rs.25 prices
X + Y = 63
100X + 25Y = 3000
X = 63-Y
Substitute that
100(63-Y) + 25Y = 3000
6300-100Y + 25Y = 3000
Bring Y to 1 side and u get
6300-3000 = 100Y-25Y
75Y=3300
Y=44
X = 63-44
= 19
There are 44 rs.25 Prizes and 19 Rs.100 Prizes
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