document.write( "Question 450189: A mechanic nees a radiator to have a 40% antifreeze solution. The radiator currently is filled with 4 gallons of a 25% antifreeze solution. How much of the antifreeze mixture should be drained from the car if the mechanic replaces it with pur antifreeze? \n" ); document.write( "
Algebra.Com's Answer #309741 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A mechanic needs a radiator to have a 40% antifreeze solution. \n" ); document.write( " The radiator currently is filled with 4 gallons of a 25% antifreeze solution. \n" ); document.write( " How much of the antifreeze mixture should be drained from the car if the \n" ); document.write( " mechanic replaces it with pure antifreeze? \n" ); document.write( ": \n" ); document.write( "Let x = amt to be drained, and amt of pure antifreeze to be added \n" ); document.write( ": \n" ); document.write( ".25(4-x) + x = .40(4) \n" ); document.write( "1 - .25x + x = 1.6 \n" ); document.write( "-.25x + x = 1.6 - 1 \n" ); document.write( ".75x = .6 \n" ); document.write( "x = \n" ); document.write( "x = .8 gal removed and .8 gal of pure antifreeze added \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution in original equation \n" ); document.write( ".25(4-.8) + .8 = .4(4) \n" ); document.write( ".25(3.2) + .8 = 1.6 \n" ); document.write( " |