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
\n" ); document.write( "\n" ); document.write( "This was a test question the answer was 4 gallons.\r
\n" ); document.write( "\n" ); document.write( "No matter what I try I can't get this answer.
\n" ); document.write( "I've tried
\n" ); document.write( ".20x+.30(12)=.50(x+12)
\n" ); document.write( ".20x+.50(x+12)=.30(12)
\n" ); document.write( ".30(12) +.50(x-12)=.20x
\n" ); document.write( "(.20x+.50y)/12=30
\n" ); document.write( "

Algebra.Com's Answer #96603 by stanbon(75887)\"\" \"About 
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)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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