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 = [tex]\dfrac{5}{5+4}\times x=\dfrac59x[/tex]
Number of no votes = 2970
[tex]\Rightarrow\ \dfrac59x= 2970\\\\\Rightarrow\ x=\dfrac95\times2970\\\\\Rightarrow\ x=5346[/tex]
Hence, total votes = 5346