document.write( "Question 91114: A car radiator has a capacity of 16 quarts and is filled with a 25% Anti-freeze solution. How much must be drained off and replaced with pure Anti-freeze to obtain a 40% Anti-freeze solution? \n" ); document.write( "
Algebra.Com's Answer #66279 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A car radiator has a capacity of 16 quarts and is filled with a 25% Anti-freeze solution. How much must be drained off and replaced with pure Anti-freeze to obtain a 40% Anti-freeze \n" ); document.write( ": \n" ); document.write( "Let x = amt of 25% to be removed \n" ); document.write( "and x = amt of pure antifreeze to be added \n" ); document.write( ": \n" ); document.write( ".25(16-x) + 1.00x = .40(16) \n" ); document.write( ": \n" ); document.write( "4 - .25x + 1x = 6.4 \n" ); document.write( ": \n" ); document.write( "-.25x + 1x = 6.4 - 4 \n" ); document.write( ": \n" ); document.write( ".75x = 2.4 \n" ); document.write( ": \n" ); document.write( "x = 2.4/.75 \n" ); document.write( ": \n" ); document.write( "x = 3.2 qts of 25% removed and 3.2 qts of pure antifreeze added \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "Check solution, find amt of 25% remaining: 16 - 3.2 = 12.8 \n" ); document.write( ".25(12.8) + 3.2 = .4(16) \n" ); document.write( " 3.2 + 3.2 = 6.4 \n" ); document.write( "; \n" ); document.write( "Did this help, make sense to you? \n" ); document.write( " \n" ); document.write( " |