document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=145091>Question 145091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On an 18-hole golf course, there are par-3 holes, par-4 holes, and par-5 holes. A golfer who shoots par on every hole has a score of 72. the sum of the number of par-3 holes and the number of par -5 holes is 8. How many of each type of hole are there on the golf course?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105776 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=105776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> On an 18-hole golf course, there are par-3 holes, par-4 holes, and par-5 holes.<BR>\n" );
document.write( "# of holes equation: t + f + v = 18<BR>\n" );
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document.write( "A golfer who shoots par on every hole has a score of 72.<BR>\n" );
document.write( "par equation: 3t + 4f + 5v = 72<BR>\n" );
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document.write( "The sum of the number of par-3 holes and the number of par -5 holes is 8.<BR>\n" );
document.write( "Added info equation: t + v = 8<BR>\n" );
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document.write( "How many of each type of hole are there on the golf course? <BR>\n" );
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document.write( "You have three equations with three variables:<BR>\n" );
document.write( "t + f + v = 18<BR>\n" );
document.write( "t + 0 + v = 8<BR>\n" );
document.write( "3t+4f +5v = 72<BR>\n" );
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document.write( "Subtract 2nd equation from 1st to get:<BR>\n" );
document.write( "0 + f + 0 = 10 (so # of par 4 holes is 10)<BR>\n" );
document.write( "t + 0 + v = 8<BR>\n" );
document.write( "3t+4f +5v = 72<BR>\n" );
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document.write( "Subtract 3 times the 2nd from the 3rd to get:<BR>\n" );
document.write( "0 + f + 0 = 10 <BR>\n" );
document.write( "t + 0 + v = 8<BR>\n" );
document.write( "0+ 4f +2v = 48<BR>\n" );
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document.write( "Since f = 10, substitute into the 3rd equation and solve for v:<BR>\n" );
document.write( "4*10 + 2v = 48<BR>\n" );
document.write( "2v = 8<BR>\n" );
document.write( "v = 4 (so # of par five holes is 4)<BR>\n" );
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document.write( "Since t + f + v = 18<BR>\n" );
document.write( "t + 10 + 4 = 18<BR>\n" );
document.write( "t = 4<BR>\n" );
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document.write( "t = 4<BR>\n" );
document.write( "f = 10<BR>\n" );
document.write( "v = 4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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