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

[BTGmoderatorLU]

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

[Scott@TargetTestPrep]

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