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Tank A had four times as much water as Tank B. After 30 L of water was transferred from tank A to tank B, Tank B had 24 more liters of water then take A. How much water is in both tanks altogether?

 Sep 2, 2021
 #1
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Tank B has  x  liters of water.

Tank A has 4 times as much, so Tank A has  4x  liters of water.

 

After 30 liters of water were transferred from Tank A to Tank B:

Tank B has  x + 30  liters of water.

Tank A has  4x - 30  liters of water.

 

Now, Tank B has 24 more liters than Tank A.

 

--->     Tank B  =  24 + Tank A

--->     x + 30  =  24 + (4x - 30)

--->     x + 30  =  4x - 6

--->     x + 36  =  4x

--->           36  =  3x

--->           12  =  x

 

Starting amounts:

Tank B  =  12 liters

Tank A  =  4 · 12  =  48  liters

 

Total amount:  12 liters + 48 liters  =  60 liters.

 Sep 3, 2021

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