document.write( "Question 445611: the cooling system in ann's car contains 19 liters of 30% antifreeze. how much coolant must be drained out and replaced with 80% antifreeze so that the system will contain 50% antifreeze. how much of the original coolant will be left in the car? \n" ); document.write( "
Algebra.Com's Answer #306993 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! the cooling system in ann's car contains 19 liters of 30% antifreeze. \n" ); document.write( " how much coolant must be drained out and replaced with 80% antifreeze so that \n" ); document.write( "the system will contain 50% antifreeze? \n" ); document.write( ": \n" ); document.write( "Let x = amt of 80% antifreeze added, this is also the amt of 30% antifreeze removed \n" ); document.write( ": \n" ); document.write( ".30(19-x) + .80x = .50(19) \n" ); document.write( ": \n" ); document.write( "5.7 - .3x + .8x = 9.5 \n" ); document.write( ": \n" ); document.write( "-.3x + .8x = 9.5 - 5.7 \n" ); document.write( ": \n" ); document.write( ".5x = 3.8 \n" ); document.write( "x = \n" ); document.write( "x = 7.6 liters of 80% antifreeze added, the same amt of 30% removed \n" ); document.write( ": \n" ); document.write( "how much of the original coolant will be left in the car? \n" ); document.write( "19 - 7.6 = 11.4 liters of 30% antifreeze remain \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution \n" ); document.write( ".3(11.4) + .8(7.6) = 9.5 \n" ); document.write( " |