Question

The number of people estimated to vote in an election was 7,000. The actual number of people who voted was 5,600. Part A By what percent did the estimate vary from actual turnout? Part B In the previous election 6,400 people voted. What is the percent decrease in actual voters?m

Answer 1

As for part A

We need to calculate the percentage equivalent to the estimation, taking 5600 as 100%

$x=7000(100)\frac{1}{5600}=125$

So, the estimate varied by 25%

Regarding part B

We need to calculate the percentage that corresponds to 5600 voters, considering 6400 as 100%

$x=\frac{5600(100)}{6400}=87.5$

So, there was a decrease of 100-87.5=12.5%