Question 1209047
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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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<pre>
Let x be  the total capacity of the aquarium tank, in gallons.


Write equation as you read the problem

    {{{x/6}}} + 2 = {{{(3/5)x}}}  gallons.


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

    5x + 60 = 18x,

    60 = 18x - 5x

    60 = 13x

     x = {{{60/13}}} = 4{{{8/13}}}  gallons.


<U>ANSWER</U>.   The total capacity of the aquarium tank is  4{{{8/13}}}  gallons.
</pre>

Solved.