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?

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Answer 1 · 2017-11-14T15:58:54

See a solution process below:

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#