document.write( "Question 928973: How many gallons of gasoline that is 11% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 9% ethanol? \n" ); document.write( "

Algebra.Com's Answer #564033 by TimothyLamb(4379) $\"\"$ $\"About$

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x = gallons of 11% ethanol/gasoline = gallons of 89% gasoline/ethanol
\n" ); document.write( "---
\n" ); document.write( "gallons of 9% ethanol/gasoline = gallons of 91% gasoline/ethanol
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\n" ); document.write( "y = gallons of 100% gasoline/no_ethanol (pure gasoline) = 2000
\n" ); document.write( "--
\n" ); document.write( "89x + 100y = 91(x + y)
\n" ); document.write( "89x + 100*2000 = 91(x + 2000)
\n" ); document.write( "89x + 200000 = 91x + 182000
\n" ); document.write( "91x - 89x = 200000 - 182000
\n" ); document.write( "2x = 18000
\n" ); document.write( "x = 9000
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\n" ); document.write( "answer:
\n" ); document.write( "x = gallons of 11% ethanol/gasoline = 9000
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