document.write( "Question 988394: a 200 ml 75% hydrochloric acid solution is to be made by mixing a 60% and 80% solution. how much of each solution should be used? \n" ); document.write( "
Algebra.Com's Answer #608964 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = ml of 60% solution needed
\n" ); document.write( "Let \"+b+\" = ml of 80% solution needed
\n" ); document.write( "\"+.6a+\" = ml of acid in 60% solution
\n" ); document.write( "\"+.8b+\" = ml of acid in 80% solution
\n" ); document.write( "-------------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+200+\"
\n" ); document.write( "(2) \"+%28+.6a+%2B+.8b+%29+%2F+200+=+.75+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "(2) \"+.6a+%2B+.8b+=+.75%2A200+\"
\n" ); document.write( "(2) \"+.6a+%2B+.8b+=+150+\"
\n" ); document.write( "(2) \"+6a+%2B+8b+=+1500+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "Multiply both sides of (1) by \"+6+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+6a+%2B+8b+=+1500+\"
\n" ); document.write( "(1) \"+-6a+-+6b+=+-1200+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "\"+2b+=+300+\"
\n" ); document.write( "\"+b+=+150+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+b+=+200+\"
\n" ); document.write( "(1) \"+a+%2B+150+=+200+\"
\n" ); document.write( "(1) \"+a+=+50+\"
\n" ); document.write( "----------------
\n" ); document.write( "50 ml of 60% solution and
\n" ); document.write( "150 ml of 80% solution are needed
\n" ); document.write( "---------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.6a+%2B+.8b+%29+%2F+200+=+.75+\"
\n" ); document.write( "(2) \"+%28+.6%2A50+%2B+.8%2A150+%29+%2F+200+=+.75+\"
\n" ); document.write( "(2) \"+%28+30+%2B+120+%29+%2F+200+=+.75+\"
\n" ); document.write( "(2) \"+150+=+.75%2A200+\"
\n" ); document.write( "(2) \"+150+=+150+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );