document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=803690>Question 803690</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this : A chemist can purchase a 10% saline solution in 500 cubic centimeter containers, a 20% saline solution in 500 cubic centimeter containers, and a 50% saline solution in 1,000 cubic centimeter containers. He needs 12,000 cubic centimeters of 30% saline solution. How many containers of each type of solution should he purchase in order to form this solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #484568 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=484568\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A chemist can purchase a 10% saline solution in 500 cubic centimeter containers, a 20% saline solution in 500 cubic centimeter containers, and a 50% saline solution in 1,000 cubic centimeter containers.<BR>\n" );
document.write( " He needs 12,000 cubic centimeters of 30% saline solution.<BR>\n" );
document.write( " How many containers of each type of solution should he purchase in order to form this solution?<BR>\n" );
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document.write( "It will greatly simplify things if we just use the 10% and the 50% solutions<BR>\n" );
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document.write( "Let x = amt (in cu/cm) of 50% solution<BR>\n" );
document.write( "the resulting amt is 12000 cu/cm, therefore<BR>\n" );
document.write( "(12000-x) = amt of 10% solution<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A typical mixture equation<BR>\n" );
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document.write( ".10(12000-x) .50x = .30(12000)<BR>\n" );
document.write( "1200 - .10x + .50x = 3600<BR>\n" );
document.write( "-.10x + .50x = 3600 - 1200<BR>\n" );
document.write( ".40x = 2400<BR>\n" );
document.write( "x = 2400/.4<BR>\n" );
document.write( "x = 6000 cu/cm of the 50% solution<BR>\n" );
document.write( "then also<BR>\n" );
document.write( "6000 cu/cm of the 10% solution<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The requirement then<BR>\n" );
document.write( "6000/1000 = 6 ea containers of the 50% solution<BR>\n" );
document.write( "and<BR>\n" );
document.write( "6000/500 = 12 ea containers of the 10% solution<BR>\n" );
document.write( " </SPAN>\n" );
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