SOLUTION: An aquarium tank is \frac{1}{6} full of water. When 2 gallons of water are added, the tank becomes \frac{3}{5} full. What is the total capacity of the aquarium tank, in gallons?

Algebra ->  Equations -> SOLUTION: An aquarium tank is \frac{1}{6} full of water. When 2 gallons of water are added, the tank becomes \frac{3}{5} full. What is the total capacity of the aquarium tank, in gallons?      Log On


   

Question 1209047: An aquarium tank is \frac{1}{6} full of water. When 2 gallons of water are added, the tank becomes \frac{3}{5} full. What is the total capacity of the aquarium tank, in gallons?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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An aquarium tank is \frac{1}{6} full of water. When 2 gallons of water are added,
the tank becomes \frac{3}{5} full. What is the total capacity of the aquarium tank, in gallons?
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Let x be  the total capacity of the aquarium tank, in gallons.


Write equation as you read the problem

    x%2F6 + 2 = %283%2F5%29x  gallons.


To solve, multiply all the terms by 5*6 = 30.  You will get

    5x + 60 = 18x,

    60 = 18x - 5x

    60 = 13x

     x = 60%2F13 = 48%2F13  gallons.


ANSWER.   The total capacity of the aquarium tank is  48%2F13  gallons.

Solved.