# 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?

Nov 14, 2017

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:

$g = 75 f$ or $\frac{g}{75} = f$

Substituting $2.50 \times {10}^{4}$ for $g$ gives:

$\frac{2.50 \times {10}^{4}}{75} = f$

$\frac{2.50}{75} \times {10}^{4} = f$

$0.0 \overline{3} \times {10}^{4} = f$

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

$3. \overline{3} \times {10}^{2} = f$

The population of Fairview is approximately $3.33 \times {10}^{2}$