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An aquarium tank is 1/6 full of water. When 2 gallons of water are added, the tank becomes 1/2 full. What is the total capacity of the aquarium tank, in gallons?

 Apr 28, 2023
 #1
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Let the capacity of a full tank ==T

 

1/2  -  1/6 ==1/3 - this is equivalent to 2 gallons.

 

1/3T == 2

 

T ==2 / (1/3) ==6 glallons - the capacity of the tank when full

 Apr 28, 2023
 #2
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24 gallons

( Tank capacity = c )

 (1/6)c + 2 = (1/4)c

2c/12 + 24/12 =  3c/12, or

24/12 = c/12 ( choose which one )

 

Multiplying both sides by 12

= 24 = c

 Apr 28, 2023

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