document.write( "Question 614659: joses gas tank is 1/9 full after he buys 6 gallons it is 1/3 full how many can joses tank hold \n" ); document.write( "
Algebra.Com's Answer #386646 by Theo(13342)\"\" \"About 
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x is the amount of gas that the tank can hold.
\n" ); document.write( "when he starts he has 1/9 * x gallons of gas in the tank.
\n" ); document.write( "after he buys 6 gallons he has 1/3 * x gallons of gas in the tank.
\n" ); document.write( "your equation is:
\n" ); document.write( "1/9 * x + 6 = 1/3 * x
\n" ); document.write( "subtract 1/9 * x from both sides of this equation to get:
\n" ); document.write( "6 = 1/3 * x - 1/9 * x
\n" ); document.write( "since 1/3 is the same as 3/9, your equation becomes:
\n" ); document.write( "6 = 3/9 * x - 1/9 * x
\n" ); document.write( "simplify this by performing the subtraction to get:
\n" ); document.write( "6 = 2/9 * x
\n" ); document.write( "multiply both sides of this equation by (9/2) to get:
\n" ); document.write( "9/2 * 6 = 9/2 * 2/9 * x
\n" ); document.write( "this becomes:
\n" ); document.write( "9/2 * 6 = x
\n" ); document.write( "perform the indicated operations to get:
\n" ); document.write( "54/2 = x which results in:
\n" ); document.write( "x = 27
\n" ); document.write( "the tank holds 27 gallons.
\n" ); document.write( "1/9 * 27 is equal to 3 gallons.
\n" ); document.write( "that's what was in the tank when you started.
\n" ); document.write( "add 6 gallons to this to get 9 gallons.
\n" ); document.write( "you have 9 gallons after you added the 6 gallons.
\n" ); document.write( "since the full tank is 27 gallons, the ratio of gas in the tank is now 9/27 which is the same as 1/3.\r
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