The ratio of yes to no votes in an election was 5 to 4.

[cbaconton]

The ratio of yes to no votes in an election was 5 to 4. How many no votes were cast if 3600 people voted yes?

i have worked on this question until i cant figure it out

 

[soroban]

Re: help me with my question pls.

Hello, cbaconton!

Do you know what a ratio is?

The ratio of Yes votes to No votes in an election was 5 to 4.
How many No votes were cast if 3600 people voted Yes?

"Yes to No is 5 to 4."

This means: \(\displaystyle \L\:\frac{\text{Yes}}{\text{No}}\:=\:\frac{5}{4}\)

Do a little algebra: \(\displaystyle \:\text{No} \:=\:\frac{4}{5}\cdot\text{Yes}\)


Since \(\displaystyle \text{Yes}\,=\,3600\), we have: \(\displaystyle \:\text{No} \:=\:\frac{4}{5}(3600)\:=\:2880\)