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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?
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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?

User Raj Peer
by
8.5k points

1 Answer

3 votes

Answer:

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
User Towhid
by
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