document.write( "Question 305402: a chemist is going to mix a 15% acid solution with a 45% acid solutionm how many liters of each solution should she mix in order to get 48 liters of a 20% acid solution? \n" ); document.write( "
Algebra.Com's Answer #218649 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
She ends up with \".2%2A48+=+9.6\" liters of acid in
\n" ); document.write( "48 liters of solution
\n" ); document.write( "Let \"a\" = liters of 15% solution to use
\n" ); document.write( "Let \"b\" = liters of 45% solution to use
\n" ); document.write( "(1) \"%28.15a+%2B+.45b%29%2F48+=+.2\"
\n" ); document.write( "(1) \".15a+%2B+.45b+=+9.6\"
\n" ); document.write( "(1) \"15a+%2B+45b+=+960\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"a+%2B+b+=+48\"
\n" ); document.write( "Multiply both sides of (2) by \"15\" and
\n" ); document.write( "subtract (2) from (1)
\n" ); document.write( "---------------------
\n" ); document.write( "(1) \"15a+%2B+45b+=+960\"
\n" ); document.write( "(2) \"-15a+-+15b+=+-720\"
\n" ); document.write( "\"30b+=+240\"
\n" ); document.write( "\"b+=+8\"
\n" ); document.write( "and
\n" ); document.write( "\"a+%2B+8+=+48\"
\n" ); document.write( "\"a+=+40\"
\n" ); document.write( "She must mix 40 liters of the 15% solution
\n" ); document.write( "with 8 liters of the 45% solution
\n" ); document.write( "check answer:
\n" ); document.write( "(1) \"%28.15a+%2B+.45b%29%2F48+=+.2\"
\n" ); document.write( "(1) \"%28.15%2A40+%2B+.45%2A8%29%2F48+=+.2\"
\n" ); document.write( "\"%286+%2B+3.6%29%2F48+=+.2\"
\n" ); document.write( "\"9.6%2F48+=+.2\"
\n" ); document.write( "\"9.6+=+9.6\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );