document.write( "Question 1165528: How many gallons of a 20% antifreeze solution and a 15% antifreeze solution must be mixed to obtain 30 gal of a 19% antifreeze solution? Round to the nearest gallon, if necessary. \n" ); document.write( "
Algebra.Com's Answer #790012 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! x gal of 20% \n" ); document.write( "30-x gal of 15% \n" ); document.write( "30 gal of 19%=5.7 gal pure antifreeze \n" ); document.write( "the sum of the other two are .20x+0.15(30-x)=.20x+4.5-0.15x \n" ); document.write( "so 0.05x+4.5=5.7 \n" ); document.write( "0.05x=1.2 \n" ); document.write( "x=24 gal of 20%. (4.8 gal pure) \n" ); document.write( "30-x=6 gal of 15% (0.9 gal pure)\r \n" ); document.write( "\n" ); document.write( "Check 19 is 1/5 of the way from 20 to 15, and 1/5 of 30 is 6 gal of the 15%. It is weighted much more towards the 20% antifreeze. \n" ); document.write( " \n" ); document.write( " |