In a lottery, a total of 100 prizes, each of either rupees 500 or rupees 100, are to be given. if the total prize money is rupees 40000, find the number of prizes of each type
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x = the number of rs.500 prizes given
y = the number of rs.100 prizes given
in a lottery a total of of 100 prizes are to be given:
x + y = 100
the total prize money is rs 40000:
500x + 100y = 40000 divide both sides by 100
5x + y = 400
by solving the system of equations:
x + y = 100
5x + y = 400
we find:
x = 75
y = 25
y = the number of rs.100 prizes given
in a lottery a total of of 100 prizes are to be given:
x + y = 100
the total prize money is rs 40000:
500x + 100y = 40000 divide both sides by 100
5x + y = 400
by solving the system of equations:
x + y = 100
5x + y = 400
we find:
x = 75
y = 25
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