document.write( "Question 146093: We have similar problems to this in our textbook, but this is off a handwritten midterm review from our \"teacher.\" It's an online course. \r
\n" ); document.write( "\n" ); document.write( "A 2004 Pontiac Montana has an engine coolant capacity of 10.1 liters. If the system is currently filled with a mixture that is 30% antifreeze, how much should be drained and replaced with pure antifreeze so the system is filled with a mix that is 50% pure antifreeze?
\n" ); document.write( "The answer we have is 2.89. I do not understand how to get to this answer! HELP! :) Thanks.
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Algebra.Com's Answer #106641 by nerdybill(7384)\"\" \"About 
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A 2004 Pontiac Montana has an engine coolant capacity of 10.1 liters. If the system is currently filled with a mixture that is 30% antifreeze, how much should be drained and replaced with pure antifreeze so the system is filled with a mix that is 50% pure antifreeze?
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\n" ); document.write( "Let x = amt in liters drained and replaced by 100% antifreeze
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\n" ); document.write( "amt of 30% antifreeze = 10.1 - x
\n" ); document.write( "amt of 100% antifreeze = x
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\n" ); document.write( "\"half of radiator content\" = amt of anti-freeze
\n" ); document.write( ".5(10.1) = \"amt antifreeze from 30% mix\" + \"amt antifreeze from 100% mix\"
\n" ); document.write( ".5(10.1) = .30(10.1 - x) + x
\n" ); document.write( "5.05 = 3.03 - .30x + x
\n" ); document.write( "5.05 = 3.03 + .70x
\n" ); document.write( "2.02 = .70x
\n" ); document.write( "2.89 liters = x
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