Question

The population of Greenville is approximately 75 times the population of Fairview. There are `2.50 times 10^4` people living in Greenville. Approximately how many people are living in Fairview?

Answer 1

See a solution process below:

Explanation:

Let's call the population of Fairview: `f`

And, let's call the population of Greenville: `g`

Then we can write an equation:

`g = 75f` or `g/75 = f`

Substituting `2.50 xx 10^4` for `g` gives:

`(2.50 xx 10^4)/75 = f`

`2.50/75 xx 10^4 = f`

`0.0bar3 xx 10^4 = f`

We can move the decimal point two places to the left and subtract from the exponent for the 10s term giving:

`3.bar3 xx 10^2 = f`

The population of Fairview is approximately `3.33 xx 10^2`