Re: Election word problem

Let $\displaystyle x$ denote the number of votes Candidate I recieved. Then since he/she recieved $\displaystyle 28.000$ votes more than Candidate II, number $\displaystyle x-28000$ is the number of votes Candidate II recieved. Because the total number of votes is $\displaystyle 2.800.000$ you can form the equation:

$\displaystyle x+(x-28000)=2800000.$

You will find that $\displaystyle x=1414000$, and number represents $\displaystyle \frac{1414000}{2800000}=0,505=50,5\%$. So correct answer is C.

Re: Election word problem

$\displaystyle \frac{28000}{2.8 \, million} = \frac{2.8 \times 10^4}{2.8 \times 10^6} = 10^{-2} = 0.01 = 1$% difference of the total vote

the winner received 50.5% , the loser received 49.5%