document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=655930>Question 655930</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pet store owner spent $100 to buy 100 animals. He bought at Least one iguana , one guinea pig, and one mouse, But no other kind of animals. if an iguana  cost $10 a guinea pig cost $3, and a mouse cost $.50. how many of each did he buy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #409317 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=409317\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A pet store owner spent $100 to buy 100 animals.<BR>\n" );
document.write( " He bought at Least one iguana , one guinea pig, and one mouse,<BR>\n" );
document.write( " But no other kind of animals.<BR>\n" );
document.write( " if an iguana cost $10 a guinea pig cost $3, and a mouse cost $.50.<BR>\n" );
document.write( " how many of each did he buy?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let i = no. of iquanas<BR>\n" );
document.write( "let p = no. of g pigs<BR>\n" );
document.write( "let m = no. of mice<BR>\n" );
document.write( ":<BR>\n" );
document.write( "we got three unknowns and 2 equations here, will have to use some logic here<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The cost equation<BR>\n" );
document.write( "10i + 3p + .5m = 100<BR>\n" );
document.write( "and no. of creatures equation<BR>\n" );
document.write( "i + p + m = 100<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply the first equation by 2, subtract the above equation<BR>\n" );
document.write( "20i + 6p + 1m = 200<BR>\n" );
document.write( "1i + 1p + 1m = 100<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "19i + 5p = 100<BR>\n" );
document.write( "5p = -19i + 100<BR>\n" );
document.write( "divide by 5<BR>\n" );
document.write( "p = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-19%2F5 ALIGN=MIDDLE  ALT=\"-19%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >i + 20<BR>\n" );
document.write( "the only integer solution here is i = 5 iquanas, then<BR>\n" );
document.write( "p = -19 + 20<BR>\n" );
document.write( "p = 1 pig<BR>\n" );
document.write( ":<BR>\n" );
document.write( "m = 100 - 5 - 1<BR>\n" );
document.write( "m = 94 mice<BR>\n" );
document.write( ":<BR>\n" );
document.write( "see if that work out<BR>\n" );
document.write( "10(5) + 1(3) + 94(.5) = <BR>\n" );
document.write( "50 + 3 + 47 = 100<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );