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Appleton's population is 400 greater than Berryville's population. If Berryville's population were reduced by...

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Appleton's population is 400 greater than Berryville's population. If Berryville's population were reduced by...

by BTGmoderatorLU » Thu Jul 23, 2020 4:23 am

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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

The OA is A
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Re: Appleton's population is 400 greater than Berryville's population. If Berryville's population were reduced by...

by Scott@TargetTestPrep » Sun Jul 26, 2020 9:08 am
BTGmoderatorLU wrote: ↑
Thu Jul 23, 2020 4:23 am
 Source: Magoosh

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

The OA is A
Solution:

We can let A = Appleton's population and B = Berryville's population and create the equations:

A = B + 400

and

A = 3(B - 900)

Substituting B + 400 for A in the second equation, we have:

B + 400 = 3(B - 900)

B + 400 = 3B - 2700

3100 = 2B

1550 = B

Answer: A

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