document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=321955>Question 321955</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alan3354 got rid of 2 migraines for me tonight.  I solved this one but I am curious if I set it up correctly.  (sorry, studying for finals and want a 4.0).<BR>\n" );
document.write( "\"John used 5 gallons of BLUE paint and 8 gallons of WHITE paint on his house.  Kim used only 3 gallons of BLUE, but 11 gallons of WHITE at the same price per gallon as John's paint.  If John spent $197 and Kim spent $205, how much was the blue paint per gallon?  <BR>\n" );
document.write( "My solution was x=total value of blue/5(# of blue gallons)+(197-x)/8(# of white gallons)=197/13(total # of gallons). \r<BR>\n" );
document.write( "\n" );
document.write( "x/5+(197-x)/8=197/13\r<BR>\n" );
document.write( "\n" );
document.write( "Am I on the right track and is \"Kim's\" info totally insignificant here or is my brain fried far more than I'm  willing to admit??\r<BR>\n" );
document.write( "\n" );
document.write( "\"Not feeling like an A student anymore\" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #230471 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=230471\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> John used 5 gallons of BLUE paint and 8 gallons of WHITE John spent $197<BR>\n" );
document.write( "Kim used only 3 gallons of BLUE, but 11 gallons of WHITE  Kim spent $205, \r<BR>\n" );
document.write( "\n" );
document.write( "Let  blue paint cost $x/gallon<BR>\n" );
document.write( "Let White paint cost $y per gallon<BR>\n" );
document.write( "..<BR>\n" );
document.write( "John<BR>\n" );
document.write( "5x+8y=197.......... equation 1<BR>\n" );
document.write( "Kim<BR>\n" );
document.write( "3x+11y=205......... equation 2<BR>\n" );
document.write( "multiply equation 1 by 3 and equation2 by 5 to eliminate x<BR>\n" );
document.write( "..<BR>\n" );
document.write( "15x+24y=591<BR>\n" );
document.write( "15x+55y=1025<BR>\n" );
document.write( "Subtract<BR>\n" );
document.write( "15x+24y-15x-55y=591-1025<BR>\n" );
document.write( "-31y=-434<BR>\n" );
document.write( "y=434/31<BR>\n" );
document.write( "y=14 dollars - cost of white paint / gallon<BR>\n" );
document.write( "plug the value of y in equation 1<BR>\n" );
document.write( "5x+8*14=197<BR>\n" );
document.write( "5x=197-112<BR>\n" );
document.write( "5x=85<BR>\n" );
document.write( "x=17 dollars the cost of blue paint - <BR>\n" );
document.write( "One more migraine gone I suppose<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );