document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189865>Question 1189865</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A certain brand of house paint must be purchased either in quarts at $12 each or in gallons at $18 each. A painter needs a 3-gallon mixture of the paint consisting of 3 parts blue and 2 parts white. What is the least amount of money needed to purchase sufficient quantities of the two colors to make the mixture?<BR>\n" );
document.write( "a)$54  b)$60  c)$66  d)$90  e)$144 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821368 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=821368\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A certain brand of house paint must be purchased either in quarts at $12 each or in gallons at $18 each.<BR>\n" );
document.write( " A painter needs a 3-gallon mixture of the paint consisting of 3 parts blue and 2 parts white.<BR>\n" );
document.write( " What is the least amount of money needed to purchase sufficient quantities of the two colors to make the mixture?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3 gal = 12 qts<BR>\n" );
document.write( "let b = amt of blue paint in quarts<BR>\n" );
document.write( "let w = amt of white<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b + w = 12<BR>\n" );
document.write( "and using the ratio of blue to white<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Fw ALIGN=MIDDLE  ALT=\"b%2Fw\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2b = 3w<BR>\n" );
document.write( "b = (3w)/2<BR>\n" );
document.write( "b = 1.5w<BR>\n" );
document.write( "find in terms of w<BR>\n" );
document.write( "1.5w + w = 12<BR>\n" );
document.write( "2.5w = 12<BR>\n" );
document.write( "w = 12/2.5<BR>\n" );
document.write( "w = 4.8 quarts of white required<BR>\n" );
document.write( "then<BR>\n" );
document.write( "b = 12 - 4.8 = 7.2 quarts of blue<BR>\n" );
document.write( "subtract no. of whole gallons from each, cost 2 *18 = $36 <BR>\n" );
document.write( ".8qts of white and 3.2 qts of blue close enough to 4, get another gal of blue<BR>\n" );
document.write( "that would now be 3 * 18 = $54 plus 1 qt of white, 54 + 12 = $66<BR>\n" );
document.write( ": <BR>\n" );
document.write( "Summarize $66: 2 gal of blue ($36), 1 gal and 1 qt of white, ($18 + $12) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );