document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1139502>Question 1139502</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one could purchase all three cars for a total of $140,000. This year, due to inflation, the same cars would cost $151,830. The cost of the BMW increased by 8%, the Jeep by 4%, and the Toyota by 10%. If the price of last year's Jeep was $6,000 less than the price of last year's BMW, what was the price of each of the three cars last year? (Round your answers to the nearest integer.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #759972 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13215)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=759972\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The numbers are ugly enough I don't care to take the time to work the problem all the way through.  I'll let you do that.<br><BR>\n" );
document.write( "Here are two basic ways to set up the problem for solving:<br><BR>\n" );
document.write( "(1) 3 variables, 3 equations<br><BR>\n" );
document.write( "b+j+t = 140000  (this year's cost of the BMW, Jeep, and Toyota is $140,000<BR>\n" );
document.write( "j = b-6000  (this year the cost of the jeep is $6000 less than the cost of the BMW)<BR>\n" );
document.write( "1.08b+1.04j+1.10t = 151,830  (next year's cost of the three, with the given percent increases, is $151,830)<br><BR>\n" );
document.write( "You would probably solve this system by a combination of substitution and elimination....<br><BR>\n" );
document.write( "(2) 1 variable, 1 equation<br><BR>\n" );
document.write( "Let x be the cost of the BMW<BR>\n" );
document.write( "Then the cost of the Jeep is x-6000<BR>\n" );
document.write( "Then the cost of the Toyota is 140000-(2x-6000)  ($140,000 minus the cost of the other two)<br><BR>\n" );
document.write( "Then the equation (still ugly; but easier to solve than the system of 3 equations) is<br><BR>\n" );
document.write( "1.08(x)+1.04(x-6000)+1.10(140000-(2x-6000)) = 151830<br><BR>\n" );
document.write( " </SPAN>\n" );
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