document.write( "Question 914984: suppose both a 6% and 12% alcohol solution are available. How many gallons of each must be mixed in order to get 30 gallons of a 10.5% alcohol solution? \n" ); document.write( "
Algebra.Com's Answer #555373 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! We need a total of 30 gal at 10.5% \n" ); document.write( "We want to know how many gal at 6% to mix with 12% \n" ); document.write( "a+b=30, \n" ); document.write( "0.06*a+0.12*b=0.105*30 \n" ); document.write( "a=30-b \n" ); document.write( "0.06*(30-b)+0.12*b=3.15 \n" ); document.write( "1.8-0.06b+0.12*b=3.15 \n" ); document.write( "0.06*b=1.35 \n" ); document.write( "b=22.5 \n" ); document.write( "a=30-b \n" ); document.write( "a=7.5 gal at 6% \n" ); document.write( "b=22.5 gal at 12% \n" ); document.write( "check \n" ); document.write( "0.06*7.5+0.12*22.5=0.105*30 \n" ); document.write( "0.45+2.7=3.15 \n" ); document.write( "3.15=3.15 \n" ); document.write( "ok \n" ); document.write( "codemx1 \n" ); document.write( " \n" ); document.write( " |