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)\"\" \"About 
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( "
\n" );