document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=244865>Question 244865</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ron and Kathy are ticket-sellers at their class play, Ron handling student tickets that sell for $2.00 each and Kathy selling adult tickets for $5.50 each. If their total income for 30 tickets was $105.50, how many did Ron sell  ANSWER CHOICES:  a. 18 tickets  b. 13 tickets c. 19 tickets d. 17 tickets </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #179047 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=179047\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a = number of tickets that ron sold.<BR>\n" );
document.write( "b = number of tickets that kathy sold.\r<BR>\n" );
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document.write( "total number of tickets they sold is 30.\r<BR>\n" );
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document.write( "formula for that is:\r<BR>\n" );
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document.write( "a + b = 30\r<BR>\n" );
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document.write( "ron sells tickets at 2 dollars apiece.<BR>\n" );
document.write( "kathy sells tickets at 5.50 apiece.\r<BR>\n" );
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document.write( "total income is 105.5\r<BR>\n" );
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document.write( "formula for that is:\r<BR>\n" );
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document.write( "2*a + 5.5*b = 105.5\r<BR>\n" );
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document.write( "two equations need to be solved simultaneously.\r<BR>\n" );
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document.write( "they are:\r<BR>\n" );
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document.write( "a + b = 30\r<BR>\n" );
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document.write( "2*a + 5.5*b = 105.5\r<BR>\n" );
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document.write( "use substitution.\r<BR>\n" );
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document.write( "take first equation and solve for a.\r<BR>\n" );
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document.write( "you get a = 30 - b\r<BR>\n" );
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document.write( "substitute for a in second equation to get:\r<BR>\n" );
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document.write( "2*a + 5.5*b = 105.5 becomes:\r<BR>\n" );
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document.write( "2 * (30-b) + 5.5*b = 105.5\r<BR>\n" );
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document.write( "simplfy to get:\r<BR>\n" );
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document.write( "60 - 2*b + 5.5*b = 105.5\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "60 + 3.5*b = 105.5\r<BR>\n" );
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document.write( "subtract 60 from both sides to get:\r<BR>\n" );
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document.write( "3.5*b = 105.5 - 60 = 45.5\r<BR>\n" );
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document.write( "divide both sides by 3.5 to get:\r<BR>\n" );
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document.write( "b = 13\r<BR>\n" );
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document.write( "since a + b = 30, this means that:\r<BR>\n" );
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document.write( "a = 17<BR>\n" );
document.write( "b = 13\r<BR>\n" );
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document.write( "sum = 30\r<BR>\n" );
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document.write( "a is equal to the number of tickets that ron sold which means that your answer is 17.\r<BR>\n" );
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document.write( "that would be selection d.\r<BR>\n" );
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document.write( "confirm your answer by substituting in original equations.\r<BR>\n" );
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document.write( "17 + 13 = 30 is confirmed.\r<BR>\n" );
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document.write( "2*17 + 5.5*13 = 34 + 71.5 = 105.5 is confirmed.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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