document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129909>Question 1129909</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 9%, the Jeep by 5%, and the Toyota by 11%. If the price of last year's Jeep was $7,000 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 #746568 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=746568\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let last year's prices be B, J, and T.  The sum of the prices last year was $140,000:<br><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+%2B+J+%2B+T+=+140000 ALIGN=MIDDLE  ALT=\"B+%2B+J+%2B+T+=+140000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The BMW increased in price by 9%, the Jeep by 5%, and the Toyota by 11%.  The sum of the prices this year is $151,830:<br><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.09B+%2B+1.05J+%2B+1.11T+=+151380 ALIGN=MIDDLE  ALT=\"1.09B+%2B+1.05J+%2B+1.11T+=+151380\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The price of last year's Jeep was $7000 less than the price of last year's BMW:<br><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=J+=+B-7000 ALIGN=MIDDLE  ALT=\"J+=+B-7000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "With the ugly decimal coefficients, I would definitely use matrices on a graphing calculator to solve the problem.  The first two equations are in the required form for most graphing calculators; the third equation needs to be put in that form.  The matrix would be<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%283%2C4%2C1%2C1%2C1%2C1400000%2C1.09%2C1.05%2C1.11%2C151830%2C1%2C-1%2C0%2C7000%29 ALIGN=MIDDLE  ALT=\"matrix%283%2C4%2C1%2C1%2C1%2C1400000%2C1.09%2C1.05%2C1.11%2C151830%2C1%2C-1%2C0%2C7000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "You can do the calculations....<br><BR>\n" );
document.write( "Note the answers are nice whole numbers.... </SPAN>\n" );
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