document.write( "Question 190383: How many quarts of pure antifreeze should mr. Alberts add to 10 quarts of a 20% antifreeze solution to make a 50% solution? \n" ); document.write( "
Algebra.Com's Answer #142884 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "
\n" ); document.write( "First condition,\r
\n" ); document.write( "\n" ); document.write( "(100%)(AF) + (20%)(10qts) = (50%)(S) -----> Eqn 1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also we know, AF + 10 qts = S ------> Eqn 2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Substitute Eqn 2 in Eqn 1:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%281%29%28AF%29%2B%280.20%29%2810%29=%280.50%29%28AF%2B10%29\"
\n" ); document.write( "\"AF%2B2=0.50%28AF%29%2B5\"
\n" ); document.write( "\"AF-0.50%28AF%29=5-2\"
\n" ); document.write( "\"0.50%28AF%29=3\" ----> \"cross%280.50%29AF%2Fcross%280.50%29=cross%283%296%2Fcross%280.50%29\"
\n" ); document.write( "AF = 6 qts , amount of 100% AF needed\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "We get the total Solution, (via Eqn 2):
\n" ); document.write( "\"S=6%2B10\"
\n" ); document.write( "\"red%28S=16qts%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let us check,
\n" ); document.write( "\"%281%29%286%29%2B0.20%2810%29=0.50%2816%29\"
\n" ); document.write( "\"6%2B2=8qts\"
\n" ); document.write( "\"8qts=8qts\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo

\n" ); document.write( "
\n" ); document.write( "
\n" );