Question

There are 533,200 people between the ages of 25 and 35 in the city of Chicago which is 18.41% of the city’s population. What is the population of the city?

Answer 1

One percent of the city's population is:\[\frac{533200}{18.41}=28962.52\]
Multiply by 100 to get the total population.
28962.52 * 100 = 2,896,252

Answer 2

I understand how you got that answer because I got it too when I used 100 but would I do it like this:
533200 x
------- x ------
18.41 81.59

If 18.41 is a part of the population, wouldn't I be solving for the REST of the population instead of 100 (the total population)?

Answer 3

I got the 81.59 by subtracting 100 - 18.41 because I'm solving for the REST of the population - anyone not between 25-35.

Answer 4

The question says that the 18.41% number is "....18.41% of the city's population". So if 533200 is divided by 18.41 we get one percent of the whole city's population.

Answer 5

Got it, thank you!

Answer 6

Good work!!