document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162048>Question 162048</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A full-price ticket for a college basket ball game costs $2.50 and a student ticket cost $1.75. IF the 585 tickets were sold, and the total receipts were $1,217.25, HOW MANY WERE STUDENT TICKETS? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #119426 by </B><A HREF=/tutors/aboutme.mpl?userid=schrammbledeggs><B>schrammbledeggs(41)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=schrammbledeggs><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=119426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's say x = full price tickets<BR>\n" );
document.write( "Let's say y = student tickets\r<BR>\n" );
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document.write( "We can write two equations:\r<BR>\n" );
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document.write( "From \"585 tickets were sold\" we can make the equation:\r<BR>\n" );
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document.write( "x + y = 585\r<BR>\n" );
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document.write( "And from \"Full-price ticket is $2.50 and student ticket is $1.75 and total receipts is $1,217.25\"...we can make the equation:\r<BR>\n" );
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document.write( "2.50x + 1.75y = 1,217.25\r<BR>\n" );
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document.write( "So now we can use substitution to find our answer...since we only have to find how many student tickets...we will solve the first equation for x so we can plug that into the 2nd equation to solve for y.\r<BR>\n" );
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document.write( "x + y = 585<BR>\n" );
document.write( "x + y - y = 585 - y<BR>\n" );
document.write( "x = 585 - y\r<BR>\n" );
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document.write( "Now we plug that into our 2nd equation:\r<BR>\n" );
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document.write( "2.50 (585 - y) + 1.75y = 1217.25\r<BR>\n" );
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document.write( "Distribute your 2.50\r<BR>\n" );
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document.write( "1462.5 - 2.50y + 1.75y = 1217.25\r<BR>\n" );
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document.write( "Add the y's:\r<BR>\n" );
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document.write( "1462.5 - 0.75y = 1217.25\r<BR>\n" );
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document.write( "Subtract 1462.5 from both sides:\r<BR>\n" );
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document.write( "1462.5 - 0.75y - 1462.5= 1217.25 - 1462.5<BR>\n" );
document.write( "-0.75y = -245.25\r<BR>\n" );
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document.write( "Divide both sides by -0.75:\r<BR>\n" );
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document.write( "y = -245.25/-0.75<BR>\n" );
document.write( "y = 327\r<BR>\n" );
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document.write( "There were 327 student tickets :) </SPAN>\n" );
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