document.write( "Question 263828: Initially, a tank contains 20 gallons of 30% antifreeze solution. How many gallons of an 80% antifreeze solution should be added to the tank in order to have the concentration of the antifreeze in the tank increase to 50%? \n" ); document.write( "
Algebra.Com's Answer #194387 by ptaylor(2198)\"\" \"About 
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\n" ); document.write( "Let x=amount of 80% antifreeze needed\r
\n" ); document.write( "\n" ); document.write( "Initially the amount of pure antifreeze in the tank =0.30*20=6 gal. If we increase the pure antifreeze in the tank by 50% we will need to have have 6+3=9 gal of pure antifreeze((9-6)/6=50% increase). In other words, we need to use enough of the 80% antifreeze to get 3 gal of pure antifreeze. So our equation to solve is:
\n" ); document.write( " 0.80x=3
\n" ); document.write( "x=3.75 gal---needs to be added to the tank\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "20*0.30+3.75*0.80=9
\n" ); document.write( "6+3=9
\n" ); document.write( "9=9\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor
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