document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4851>Question 4851</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The booster club voted on where they would go for their annual trip. A majority of the club voted to go to a baseball game. They bought 29 tickets. Some of the tickets cost $21 each and some cost $27 each. The total cost of all the tickets was $675. How many tickets of each price did they buy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2366 by </B><A HREF=/tutors/aboutme.mpl?userid=Abbey><B>Abbey(339)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Abbey><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=2366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = number of tickets @ $21<BR>\n" );
document.write( "21x=amount of money these tickets cost\r<BR>\n" );
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document.write( "Let y= number of tickets @$27<BR>\n" );
document.write( "27y = amount of money these tickets cost\r<BR>\n" );
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document.write( "the total number of tickets purchased:<BR>\n" );
document.write( "x+y=29\r<BR>\n" );
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document.write( "The total value of the tickets purchased<BR>\n" );
document.write( "21x+27y=$675\r<BR>\n" );
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document.write( "rewrite x+y=29 as <BR>\n" );
document.write( "x=29-y\r<BR>\n" );
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document.write( "then substitute it into the value equation:<BR>\n" );
document.write( "21(29-y)+27y=$675\r<BR>\n" );
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document.write( "clear the parentheses:<BR>\n" );
document.write( "609-21y+27y=675<BR>\n" );
document.write( "609+6y=675\r<BR>\n" );
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document.write( "subtract 609 from both sides:<BR>\n" );
document.write( "6y=66<BR>\n" );
document.write( "divide by 6<BR>\n" );
document.write( "y=11\r<BR>\n" );
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document.write( "11 tickets were purchased at $27, so 18 were purchased at $29.\r<BR>\n" );
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document.write( "Check by multiplication<BR>\n" );
document.write( "11*27=297<BR>\n" );
document.write( "18*21=378\r<BR>\n" );
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document.write( "297+378=675 </SPAN>\n" );
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