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
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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?
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document.write( "The answer we have is 2.89. I do not understand how to get to this answer! HELP! :) Thanks. \n" );
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Algebra.Com's Answer #106643 by stanbon(75887) ![]() You can put this solution on YOUR website! A 2004 Pontiac Montana has an engine coolant capacity of 10.1 liters. \n" ); document.write( "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( "---------------- \n" ); document.write( "30% DATA: \n" ); document.write( "Amt. = 10.1 liters ; Amt of active ingredient = 0.3(10.1) = 3.03 liters \n" ); document.write( "------------------------------- \n" ); document.write( "After removing x liters: \n" ); document.write( "Amt = 10.1-x liters ; Amt of active ingredient = 0.3(10.1-x) = 3.03-0.3x liters \n" ); document.write( "------------------------------- \n" ); document.write( "After add x liters of 100% active ingredient: \n" ); document.write( "Amt = 10.1 liters ; Amt of active ingredient = 0.5*10.1 = 5.05 liters \n" ); document.write( "------------------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "active + active = active \n" ); document.write( "3.03-0.03x + x + 5.05 \n" ); document.write( "0.97x = 2.02 \n" ); document.write( "x = 2.0825 liters (amount that is subtracted and then added) \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |