Problema Solution
in a lottery a total of of 200 prizes are to be given. a prize is either rs.500 or rs.100. find the number of prizes of each type if the total prize money is rs 50000
Answer provided by our tutors
let
x = the number of rs.500 prizes given
y = the number of rs.100 prizes given
in a lottery a total of of 200 prizes are to be given:
x + y = 200
the total prize money is rs 50000:
500x + 100y = 50000 divide both sides by 100
5x + y = 500
by solving the system of equations:
x + y = 200
5x + y = 500
we find:
x = 75
y = 125
click here to see the step by step solution of the system of equations:
there were 75 prizes of rs.500 and 125 prizes of rs.100.