document.write( "Question 1097016: In your chemistry class, you are given a bottle of 5% acid solution and a bottle of 2% acid solution. You need 60 mL of a 3% solution for an experiment. How much of each solution do you need to mix together to get the desired concentration? \n" ); document.write( "
Algebra.Com's Answer #711414 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = mL of 5% solution needed
\n" ); document.write( "Let \"+b+\" = mL of 2% solution needed
\n" ); document.write( "---------------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+60+\" mL
\n" ); document.write( "(2) \"+%28+.05a+%2B+.02b+%29+%2F+60+=+.03+\"
\n" ); document.write( "------------------------------------
\n" ); document.write( "(2) \"+.05a+%2B+.02b+=+.03%2A60+\"
\n" ); document.write( "(2) \"+.05a+%2B+.02b+=+1.8+\"
\n" ); document.write( "(2) \"+5a+%2B+2b+=+180+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "Multiply both sides of (1) by \"+2+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+5a+%2B+2b+=+180+\"
\n" ); document.write( "(1) \"+-2a+-+2b+=+-120+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "\"+3a+=+60+\"
\n" ); document.write( "\"+a+=+20+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+20+%2B+b+=+60+\"
\n" ); document.write( "(1) \"+b+=+40+\"
\n" ); document.write( "---------------------
\n" ); document.write( "20 mL of 5% solution are needed
\n" ); document.write( "40 mL of 2% solution are needed
\n" ); document.write( "---------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.05a+%2B+.02b+%29+%2F+60+=+.03+\"
\n" ); document.write( "(2) \"+%28+.05%2A20+%2B+.02%2A40+%29+%2F+60+=+.03+\"
\n" ); document.write( "(2) \"+%28+1+%2B+.8+%29+%2F+60+=+.03+\"
\n" ); document.write( "(2) \"+1.8+=+.03%2A60+\"
\n" ); document.write( "(2) \"+1.8+=+1.8+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );