Question

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 8327 total votes, how many yes votes were there?

Answer 1

Number of yes votes is 5299

Solution:

Given that, ratio of yes votes to no votes was 7 to 4

Total votes = 8327

yes votes : no votes = 7 : 4

$\frac{\text { yes notes }}{\text { no votes }}=\frac{7}{4}$

Let the number of yes votes casted be "7a"

Let the number of no votes casted be "4a"

Given that total votes is 8327

number of yes votes + number of no votes = 8327

7a + 4a = 8327

11a = 8327

$a = \frac{8327}{11} = 757$

Thus the number of yes votes = 7a = 7(757) = 5299

number of no votes = 4a = 4(757) = 3028