document.write( "Question 934398: How many gallons of gasoline that is 12% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 10% ethanol. \n" ); document.write( "

Algebra.Com's Answer #567398 by TimothyLamb(4379) $\"\"$ $\"About$

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x = gallons of 12% ethanol/gasoline = gallons of 88% gasoline/ethanol
\n" ); document.write( "y = gallons of 10% ethanol/gasoline = gallons of 90% gasoline/ethanol
\n" ); document.write( "---
\n" ); document.write( "88x + 100*2000 = 90y
\n" ); document.write( "y = x + 2000
\n" ); document.write( "---
\n" ); document.write( "put the system of linear equations into standard form
\n" ); document.write( "---
\n" ); document.write( "88x + 100*2000 = 90y
\n" ); document.write( "y = x + 2000
\n" ); document.write( "---
\n" ); document.write( "88x - 90y = -200000
\n" ); document.write( "x - y = -2000
\n" ); document.write( "---
\n" ); document.write( "copy and paste the above standard form linear equations in to this solver:
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\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "x = gallons of 12% ethanol/gasoline = 10000
\n" ); document.write( "y = gallons of 10% ethanol/gasoline = 12000
\n" ); document.write( "---
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