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# Appleton’s population is 400 greater than Berryville’s popul

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Director
Joined: 07 Jan 2018
Posts: 550
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Appleton’s population is 400 greater than Berryville’s popul [#permalink]  26 Jun 2018, 21:15
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Question Stats:

88% (01:35) correct 11% (02:25) wrong based on 9 sessions
Appleton’s population is 400 greater than Berryville’s population. If Berryville’s population were reduced by 900 people, then Appleton’s population would be 3 times as large as Berryville’s population. What is Berryville’s current population?

A 1550
B 1650
C 1750
D 1850
E 1950
[Reveal] Spoiler: OA
Director
Joined: 20 Apr 2016
Posts: 756
Followers: 6

Kudos [?]: 511 [1] , given: 94

Re: Appleton’s population is 400 greater than Berryville’s popul [#permalink]  26 Jun 2018, 23:44
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amorphous wrote:
Appleton’s population is 400 greater than Berryville’s population. If Berryville’s population were reduced by 900 people, then Appleton’s population would be 3 times as large as Berryville’s population. What is Berryville’s current population?

A 1550
B 1650
C 1750
D 1850
E 1950

Here Let;
Appleton’s population =A

Berryville’s population = B

From the statemnent we can write as: A = 400 + B

and A = 3 * (B - 900) (SInce population of Berryville’s is reduced by 900)

or we can write as : 400 + B = 3 * (B - 900) (Since A = 400 + B )

Solving we get B= $$\frac{3100}{2}$$ = 1550 which is Berryville’s population
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Re: Appleton’s population is 400 greater than Berryville’s popul   [#permalink] 26 Jun 2018, 23:44
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