document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=392483>Question 392483</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You must buy 100 pets and spend $100.  You may buy dogs, cats and mice, and you must buy at least one of each pet.  Dogs cost $15, cats cost $1 and mice are 25 cents each.  How many of each pet will you buy if you spend exactly $100 and buy exactly 100 pets? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #278586 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=278586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You must buy 100 pets and spend $100. You may buy dogs, cats and mice,<BR>\n" );
document.write( " and you must buy at least one of each pet. <BR>\n" );
document.write( "Dogs cost $15, cats cost $1 and mice are 25 cents each.<BR>\n" );
document.write( " How many of each pet will you buy if you spend exactly $100 and buy exactly 100 pets?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let no. of each animal be, d, c, m<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Total animal equation<BR>\n" );
document.write( "d + c + m = 100<BR>\n" );
document.write( "Total cost equation<BR>\n" );
document.write( "15d + 1c + .25m = 100<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We got three unknowns and two equations, but we know the solutions are integers<BR>\n" );
document.write( "Eliminate the cats<BR>\n" );
document.write( "15d + 1c + .25m = 100<BR>\n" );
document.write( " 1d + 1c + 1m = 100<BR>\n" );
document.write( "---------------------- Subtraction eliminates c<BR>\n" );
document.write( "14d - .75m = 0<BR>\n" );
document.write( "or<BR>\n" );
document.write( ".75m = 14d<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F.75 ALIGN=MIDDLE  ALT=\"14%2F.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >d<BR>\n" );
document.write( "substitute values for d, until you get an integer value for m<BR>\n" );
document.write( "when you get to d = 3<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F.75 ALIGN=MIDDLE  ALT=\"14%2F.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >*3<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2F.75 ALIGN=MIDDLE  ALT=\"42%2F.75\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "m = 56 mice<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We have 3 dogs and 56 mice, then 100 - 59 = 41 cats<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check that in the cost equation<BR>\n" );
document.write( "15(3) + 1(41) .25(56) =<BR>\n" );
document.write( "45 + 41 + 14 = 100\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );