document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=298597>Question 298597</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a system of two equations in two solutions for each problem.  Solve each system by substitution.<BR>\n" );
document.write( "Jay Lenos's garage.  Jay Leno's collection of cars and motorcycles totals 187.  When he checks the air in the tires he has 588 tires to check.  How many cars and how many motorcycles does he own?  Assume that the cars all have four tires and the motorcyles have two. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #214743 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=214743\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Jay Lenos's garage. Jay Leno's collection of cars and motorcycles totals 187. When he checks the air in the tires he has 588 tires to check. How many cars and how many motorcycles does he own? Assume that the cars all have four tires and the motorcyles have two.<BR>\n" );
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document.write( "Cars Equation: c + m = 187<BR>\n" );
document.write( "Tires Equation:4c + 2m = 588<BR>\n" );
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document.write( "Multiply thru 1st by 4 to get:<BR>\n" );
document.write( "4c + 4m = 4*187<BR>\n" );
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document.write( "Subtract the Tires Equation from that and solve for \"m\":<BR>\n" );
document.write( "2m = 160<BR>\n" );
document.write( "m = 80 (# of motorcycles)<BR>\n" );
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document.write( "Since c+m = 187, c = 107 (# of cars)<BR>\n" );
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document.write( "cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "======================================= </SPAN>\n" );
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