Problema Solution
In an election one candidate received 45 more votes than the other. The total number of votes cast in the election was 405. Find the number of votes received by each candidate.
Answer provided by our tutors
we will assume that all the votes are valid
let
x = the number of votes the first candidate received
y = the number of votes the second candidate received
one candidate received 45 more votes than the other
x = 45 + y
the total number of votes cast in the election was 405
x + y = 405
by solving the system of equations
x = 45 + y
x + y = 405
we find
x = 225 votes
y = 180 votes
click here to see the step by step solution of the system of equations
the first candidate received 225 votes while the second received 180 votes.