Question

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 4 to 5 . If there were 2970 no votes, what was the total number of votes?

Answer 1

Answer:  5346

Step-by-step explanation:

Let x = Total votes.

Given : The  ratio of yes votes to no votes was 4 to 5 i.e. The number of no votes = $\dfrac{5}{5+4}\times x=\dfrac59x$

Number of no votes = 2970

$\Rightarrow\ \dfrac59x= 2970\\\\\Rightarrow\ x=\dfrac95\times2970\\\\\Rightarrow\ x=5346$

Hence, total votes = 5346