document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104046>Question 1104046</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mrs. Flanagan manages a hotel. One day, she received a certain number of<BR>\n" );
document.write( "cancellations. Then she received reservations that were 13 more than 4 times the<BR>\n" );
document.write( "number of cancellations. There were 79 hotel reservations in all.<BR>\n" );
document.write( "How many cancellations did Mrs. Flanagan receive? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #718798 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=718798\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> net reservations = reservations - cancellations.\r<BR>\n" );
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document.write( "let n represent net number of reservations.<BR>\n" );
document.write( "let r represent number of reservations.<BR>\n" );
document.write( "let c represents number of cancellations.\r<BR>\n" );
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document.write( "formula becomes n = r - c\r<BR>\n" );
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document.write( "you are given that net number of reservations are 79.\r<BR>\n" );
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document.write( "these would be reservations that haven't been cancelled.\r<BR>\n" );
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document.write( "formula of n = r - c becomes 79 = r - c.\r<BR>\n" );
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document.write( "you are given that number of reservations are 13 more than 4 times cancellations.\r<BR>\n" );
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document.write( "formula for that would be r = 4 * c + 13.\r<BR>\n" );
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document.write( "since r = 4 * c + 13, replace r with 4 * c + 13 in formula of 79 = r - c to get 79 = 4 * c + 13 - c\r<BR>\n" );
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document.write( "combine like terms to get 79 = 3 * c + 13.\r<BR>\n" );
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document.write( "subtract 13 from both sides of this equation to get 66 = 3 * c.\r<BR>\n" );
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document.write( "solve for c to get c = 22.\r<BR>\n" );
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document.write( "go back to the equation of 79 = r - c.\r<BR>\n" );
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document.write( "when c = 22, this equation becomes 79 = r - 22.\r<BR>\n" );
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document.write( "add 22 to both sides of this equation to get 101 = r\r<BR>\n" );
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document.write( "there were 101 reservations made.<BR>\n" );
document.write( "there were 22 cancellations.<BR>\n" );
document.write( "the net reservations were 104 - 22 = 79.\r<BR>\n" );
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document.write( "since you were only asked to find the number of cancellations, then your solution is 22. </SPAN>\n" );
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