Problema Solution
Problem Page
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was
7
to
4
. If there were
7678
total votes, how many yes votes were there?
Answer provided by our tutors
Let
x = the number of "yes" votes
y = the number of "no" votes
The ratio of yes votes to no votes was 7 to 4:
x : y = 7 : 4 cross-multiply
4x = 7y
There were 7678 total votes:
x + y = 7678
We need to solve the following system of equations:
4x = 7y
x + y = 10868
........
click here to see the system of equations solved for x and y
........
x = 6,916 "yes" votes
y = 3,952 "no" votes
There were 6,916 "yes" votes.