document.write( "Question 97450: How many gallons of a 85% solution must be mixed with 96 gallons of 40% solution to obtain a 53% solution? \n" ); document.write( "
Algebra.Com's Answer #71031 by ankor@dixie-net.com(22740)\"\" \"About 
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How many gallons of a 85% solution must be mixed with 96 gallons of 40% solution to obtain a 53% solution?
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\n" ); document.write( "Let x = amt of 85% solution required
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\n" ); document.write( "This will be mixed with 96 gal, therefore:
\n" ); document.write( "Resulting amt = (x+96)
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\n" ); document.write( "The decimal equation:
\n" ); document.write( ".85x + .40(96) = .53(x+96)
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\n" ); document.write( ".85x + 38.4 = .53x + 50.88
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\n" ); document.write( ".85x - .53x = 50.88 - 38.4
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\n" ); document.write( ".32x = 12.48
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\n" ); document.write( "x = 12.48/.32
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\n" ); document.write( "x = 39 gal of 85% solution
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\n" ); document.write( "Check solution:
\n" ); document.write( ".85(39) + .40(96) = .53(39+96)
\n" ); document.write( "33.15 + 38.4 = .53(135)
\n" ); document.write( " 71.55 = 71.55; confirms our solution
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\n" ); document.write( "Not that hard, right? \n" ); document.write( "
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