document.write( "Question 309994: how many gallons of a 10% alcohol solution be mixed with 20 gallons of a 10% acid solution to obtain an 8% acid solution? The answer is 40/3. How do you solve the problem? \n" ); document.write( "

Algebra.Com's Answer #221730 by stanbon(75887) $\"\"$ $\"About$

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how many gallons of a 10% alcohol solution be mixed with 20 gallons of a 10% acid solution to obtain an 8% acid solution? The answer is 40/3. How do you solve the problem?
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\n" ); document.write( "Equation:
\n" ); document.write( "alcohol + alcohol = alcohol
\n" ); document.write( "0.10x + 0.10*20 = 0.8(x+20)
\n" ); document.write( "Multiply thru by 100 to get:
\n" ); document.write( "10x + 10*20 = 8x + 8*20
\n" ); document.write( "2x = -2*20
\n" ); document.write( "x = -20
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\n" ); document.write( "The answer is unrealistic because the
\n" ); document.write( "stated problem is unrealistic. If
\n" ); document.write( "you add 10% solution to 10% solution
\n" ); document.write( "you can never get 8% solution.
\n" ); document.write( "---
\n" ); document.write( "Also, note you seem to be adding alcohol
\n" ); document.write( "and acid. Hmmmm!!!
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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