document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57158>Question 57158</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078280249/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Last Monday at 7:30 a.m., an airline flew 89 passengers on a commuter flight from Boston to New York. Some of the passengers paid $120 for their tickets and the rest paid $230 for their tickets. The total cost of all of the tickets was $14,200. How many passengers bought $120 tickets? How many bought $230 tickets? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38877 by </B><A HREF=/tutors/aboutme.mpl?userid=rcmcc><B>rcmcc(152)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rcmcc><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=rcmcc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=38877\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve this question you must change the word problem to a linear equation.\r<BR>\n" );
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document.write( "This can be done by making the passengers that paid $120 for their ticket (X) and the passenger that paid $230 for their ticket (Y)\r<BR>\n" );
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document.write( "The total amount of passengers is;\r<BR>\n" );
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document.write( "X+Y=89\r<BR>\n" );
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document.write( "and the ticket cost per passenger can be represented by;\r<BR>\n" );
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document.write( "120X+230Y=14200\r<BR>\n" );
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document.write( "by multiplying the first equation by 120, you can solve the system for y. This is shown below.\r<BR>\n" );
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document.write( "(X+Y=89)x120<BR>\n" );
document.write( "120X+120Y=10680\r<BR>\n" );
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document.write( "isolate Y from the 2 equations;\r<BR>\n" );
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document.write( "120X+120Y=10680<BR>\n" );
document.write( "120X+230Y=14200<BR>\n" );
document.write( "-110Y=-3520<BR>\n" );
document.write( "Y=32\r<BR>\n" );
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document.write( "Substitute Y into the first equation to find X\r<BR>\n" );
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document.write( "X+Y=89<BR>\n" );
document.write( "X+32=89<BR>\n" );
document.write( "X=57\r<BR>\n" );
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document.write( "So 57 passengers paid $120 and 32 paid $230 </SPAN>\n" );
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