Question

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 7. If there were 5383 no votes, what was the total

number of votes?

Answer 1

The total of votes were 9228

Explanation:

1. The ratio of yes votes (Y) to no votes (N) were 5/7, which means that
   `(Y)/(N)=(5)/(7)`.
2. If there were 5383 no votes N=5383. Then, taking the previous expression, we get
   `(Y)/(N)=(Y)/(5383)=(5)/(7)`. From this equivalence we can clear Y (yes votes),
   `Y=(5)/(7)*5383=3845`. Then, the yes votes were equal to 3845.
3. To confirm that the yes votes are well calculated, tou can check that
   `(Y)/(N)=(5)/(7)=(3845)/(5383)`, which is actually the case.
4. Finally, the total number of votes is the sum of yes and no votes,
   `total=3845+5383=9228`