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AN 8% INCREASE IN POPULATION EQUALS 1998 PEOPLE SO  WHAT WAS PREVIOUSE POPULATION? I...

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kappesser | Student, Undergraduate | eNotes Newbie

Posted February 26, 2009 at 1:36 AM via web

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AN 8% INCREASE IN POPULATION EQUALS 1998 PEOPLE SO  WHAT WAS PREVIOUSE POPULATION? 

I KNOW THE ANSWER IS 1850, BUT I NEED TO SEE HOW THEY GOT THIS ANSWER

3 Answers | Add Yours

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kmieciakp | High School Teacher | Valedictorian

Posted February 26, 2009 at 3:00 AM (Answer #1)

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Just write what the sentence is asking for in math language: what number when increased by 8% of itself is 1998.

So for what number, write x.  Then for increased by 8% of itself, that's plus +, eight percent of x, so 0.08x, so write + 0.08x.  Finally, equals 1998 is of course = 1998.

so put it together, and you have

x + 0.08x = 1998 --then just solve for x:

1.08x=1998

x= 1998 / 1.08

x= 1850

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted January 28, 2013 at 11:36 AM (Answer #3)

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You need to convert the request of the problem into an equation, where population represents the variabl, hence, you should come up with the substitution for previous population P.

The problem provides the information that an increase of population of `8%` gives `1998` people, hence, you may write the following equation:

`P + 0.08 P = 1998`

Notice that `0.08 P` represents the increase of population by 8 percents.

`1.08P = 1998 => P = 1998/1.08 => P = 1850`

Hence, evaluating the previous population yields `P = 1850.`

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alpavasavada | High School Teacher | eNotes Newbie

Posted November 15, 2010 at 3:18 PM (Answer #2)

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8% increase of previous population + previous population=1998

i.e(1 + 8/100) of Pre.Popun= 1998

Therefore, Pre. popun = (1998 x 100)/108 = 1850

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