MHB What is the population percentage of City A compared to City B?

[mathdad]

The population of city A is 18% less than the population of City B. City A population is what percent of City B?

My Effort:

A = B - 0.18

Let x = what percent

A = x(B - 0.18)

Correct?

 

[Greg]

$\frac AB = 0.82$

 

[mathdad]

Obviously, 0.82 came from subtracting 0.18 from 1.00.
You are saying that the answer is the equation A/B = 0.82.
What words in the application told you to set up what you did?
Why A/B?

 

[Greg]

Percents may be viewed as ratios. For example, 2 is 50% of 4 and 2/4 = 0.5. That tells us that, for your question, $\frac AB=0.82$. Now solve for $A$ to find what percentage of $B$ is $A$. My apologies if my previous post seemed incomplete.

 

[mathdad]

At first, I thought the answer was A = 0.18B but now I now know better.