document.write( "Question 190731: Adjusting Antifreeze: Angela needs 20 quarts of 50% antifreeze solution in her radiator. She plans to obtain this by mixing some pure antifreeze with an appropriate amount of a 40% antifreeze solution. How many quarts of each should she use? \n" ); document.write( "
Algebra.Com's Answer #143212 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Adjusting Antifreeze: Angela needs 20 quarts of 50% antifreeze solution in her radiator. She plans to obtain this by mixing some pure antifreeze with an appropriate amount of a 40% antifreeze solution. How many quarts of each should she use? \n" ); document.write( ". \n" ); document.write( "Let x = quarts of pure antifreeze \n" ); document.write( "20-x = quarts of 40% antifreeze \n" ); document.write( ". \n" ); document.write( "\"amt of antifreeze from pure\" + \"amt from 40%\" = \"50% of total mixture\" \n" ); document.write( "x + .40(20-x) = .50(20) \n" ); document.write( "x + 8 - .40x = 10 \n" ); document.write( "x - .40x = 2 \n" ); document.write( ".60x = 2 \n" ); document.write( "x = 2/.60 \n" ); document.write( "x = 20/6 \n" ); document.write( "x = 10/3 quarts (3.333) \n" ); document.write( ". \n" ); document.write( "Quarts of 40% antifreeze: \n" ); document.write( "20-x = 20-10/3 = 60/3 - 10/3 = 50/3 quarts (16.667) \n" ); document.write( " \n" ); document.write( " |