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a tank was 1/2 full of water. After 420 gallons had been taken out, it was 1/8 full. Find the capacity of the tank?

 Jun 22, 2017

Best Answer 

 #1
avatar+27549 
+2

Let V be full volume.

 

We are told:  V/2 -420 = V/8

 

Subtract V/8 from both sides: V/2 - V/8 - 420 = 0

 

Add 420 to both sides:  V/2 - V/8 = 420

 

Simplify the left hand side:  3V/8 = 420

 

Multiply both sides by 8/3:  V = 420*8/3

 

Simplify: V = 140*8  or  V = 1120 gallons

 Jun 22, 2017
 #1
avatar+27549 
+2
Best Answer

Let V be full volume.

 

We are told:  V/2 -420 = V/8

 

Subtract V/8 from both sides: V/2 - V/8 - 420 = 0

 

Add 420 to both sides:  V/2 - V/8 = 420

 

Simplify the left hand side:  3V/8 = 420

 

Multiply both sides by 8/3:  V = 420*8/3

 

Simplify: V = 140*8  or  V = 1120 gallons

Alan Jun 22, 2017

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