document.write( "Question 132225: In the lab there is a vat of a solution of 20% acid and another vat of solution of 50% acid. How much of the 50% acid solution should be mixed with the 20% solution to have 12 gallons of a 30% acid solution?\r
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document.write( "This was a test question the answer was 4 gallons.\r
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document.write( "No matter what I try I can't get this answer.
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document.write( "I've tried
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document.write( ".20x+.30(12)=.50(x+12)
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document.write( ".20x+.50(x+12)=.30(12)
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document.write( ".30(12) +.50(x-12)=.20x
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document.write( "(.20x+.50y)/12=30 \n" );
document.write( "
Algebra.Com's Answer #96603 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! In the lab there is a vat of a solution of 20% acid and another vat of solution of 50% acid. How much of the 50% acid solution should be mixed with the 20% solution to have 12 gallons of a 30% acid solution? \n" ); document.write( "--------------------------- \n" ); document.write( "50% solution DATA added: \n" ); document.write( "Amount = \"x\" gallons ; Amt acid is 0.5x gallons \n" ); document.write( "--------------------------- \n" ); document.write( "20% solution DATA: \n" ); document.write( "Amount = \"12-x\" gallons; Amt. acid is 0.20(12-x) = 2.4-0.2x gallons \n" ); document.write( "----------------------- \n" ); document.write( "30% Mixture DATA: \n" ); document.write( "Amount = 12 gallons: Amt acid = 0.30*12 = 3.6 gallons \n" ); document.write( "------------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "acid + acid = acid \n" ); document.write( "0.5x + 2.4-0.2x = 3.6 \n" ); document.write( "0.3x = 1.2 \n" ); document.write( "x = 4 gallons ( amount of 50% solution in the mixture) \n" ); document.write( "========================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |