document.write( "Question 450971: How much of a 5% acid solution and a 20% acid solution must be mixed in order to obtain 3 gallons of a 10% acid solution?\r
\n" ); document.write( "\n" ); document.write( "Please show me the steps to get the answer. Thanks
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Algebra.Com's Answer #310121 by stanbon(75887)\"\" \"About 
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How much of a 5% acid solution and a 20% acid solution must be mixed in order to obtain 3 gallons of a 10% acid solution?
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\n" ); document.write( "Equations:
\n" ); document.write( "Quantity Eq:: f + t = 3 gallons
\n" ); document.write( "Acid Eq:::: 0.05f+0.20t == 0.10*3
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\n" ); document.write( "Multiply thru 1st equation by 5.
\n" ); document.write( "Multiply thru 2nd equation by 100.
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\n" ); document.write( "5f + 5t = 5*3
\n" ); document.write( "5f +20t = 10*3
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\n" ); document.write( "Subtract and solve for \"t\":
\n" ); document.write( "15t = 5*3
\n" ); document.write( "t = 1 gallon (amt. of 20% solution needed)
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\n" ); document.write( "Solve for \"f\":
\n" ); document.write( "f + t = 3
\n" ); document.write( "f + 1 = 3
\n" ); document.write( "f = 2 gallons (amt. of 5% soltuion needed)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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