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Reservoir \(A\) contains \(450\) million gallons of water more than does Reservoir \(B.\) If \(100\) million gallons of

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by M7MBA » Thu Nov 19, 2020 9:07 am
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Reservoir \(A\) contains \(450\) million gallons of water more than does Reservoir \(B.\) If \(100\) million gallons of water were to be drained from Reservoir \(A\) into Reservoir \(B,\) then Reservoir \(A\) would contain twice as much water as would Reservoir \(B.\) How many million gallons of water does Reservoir \(A\) currently contain?

A. 500
B. 600
C. 700
D. 800
E. 900

Answer: B

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Re: Reservoir \(A\) contains \(450\) million gallons of water more than does Reservoir \(B.\) If \(100\) million gallons

by Scott@TargetTestPrep » Sat Nov 28, 2020 11:07 am
M7MBA wrote: ↑
Thu Nov 19, 2020 9:07 am
 Reservoir \(A\) contains \(450\) million gallons of water more than does Reservoir \(B.\) If \(100\) million gallons of water were to be drained from Reservoir \(A\) into Reservoir \(B,\) then Reservoir \(A\) would contain twice as much water as would Reservoir \(B.\) How many million gallons of water does Reservoir \(A\) currently contain?

A. 500
B. 600
C. 700
D. 800
E. 900

Answer: B

Solution:

We can create the equations:

A = 450 + B

and

A - 100 = 2(B + 100)

A - 100 = 2B + 200

A = 2B + 300

Substituting, we have:

450 + B = 2B + 300

150 = B

So A = 450 + 150 = 600.

Answer: B

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