document.write( "Question 335483: How many gallons of pure alcohol should be mixed with 20 gallons of a 15% alcohol solution to obtain a mixture that is 25% alcohol \n" ); document.write( "
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How many gallons of pure alcohol should be mixed with 20 gallons of a 15% alcohol solution to obtain a mixture that is 25% alcohol
\n" ); document.write( "15% 20 gal
\n" ); document.write( "100% x
\n" ); document.write( "Mixture 25% x+20
\n" ); document.write( "..
\n" ); document.write( "0.15*20+x=0.25(x+20)
\n" ); document.write( "3+x=0.25x+5
\n" ); document.write( "add -0.25x to both sides
\n" ); document.write( "3+x-0.75x=0.25x-0.25x+5
\n" ); document.write( "0.25x+3=5
\n" ); document.write( "add -3 to both sides
\n" ); document.write( "0.25x +3-3=5-3
\n" ); document.write( "0.25x=2
\n" ); document.write( "divie by 0.25
\n" ); document.write( "x=2/0.25
\n" ); document.write( "x=8 gallons of pure alcohol
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