document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205799>Question 1205799</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Luciano wants to have a maximum of $120 cash at the ticket booth when his church carnival opens. He will have $1 bills and $5 bills. If x is the number of $1 bills and y is the number of $5 bills the inequality x+5<=120 models the situation. Graph the inequality\r<BR>\n" );
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document.write( "List three solutions to the inequality x+5<=120 where both x and y are integers.\r<BR>\n" );
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document.write( "First Solution= (<BR>\n" );
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document.write( "Second Solution= (<BR>\n" );
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document.write( "Third Solution= (<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842838 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=842838\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "x = number of $1 bills = value of said bills<BR>\n" );
document.write( "y = number of $5 bills<BR>\n" );
document.write( "5y = value of just the $5 bills only<BR>\n" );
document.write( "x+5y = total value<BR>\n" );
document.write( "x+5y <= 120 is the inequality to set up. You forgot to put a \"y\" after the 5.\r<BR>\n" );
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document.write( "Let's say x = 5.<BR>\n" );
document.write( "Let's determine what y could be based on it.<BR>\n" );
document.write( "x+5y <= 120<BR>\n" );
document.write( "5+5y <= 120<BR>\n" );
document.write( "5y <= 120-5<BR>\n" );
document.write( "5y <= 115<BR>\n" );
document.write( "y <= 115/5<BR>\n" );
document.write( "y <= 23<BR>\n" );
document.write( "If you had 5 one dollar bills, then you could have at most 23 $5 bills\r<BR>\n" );
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document.write( "So one solution could be <font color=red>(5,20)</font><BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "x+5y <= 120<BR>\n" );
document.write( "5+5*20 <= 120<BR>\n" );
document.write( "5+100 <= 120<BR>\n" );
document.write( "105 <= 120<BR>\n" );
document.write( "The true statement at the end confirms this solution.\r<BR>\n" );
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document.write( "The point (5,20) is in the shaded region of the graph.<BR>\n" );
document.write( "The graph consists of a straight solid line through (0,24) and (120,0). Points on the solid boundary are solutions. The shaded region is below this solid boundary line.<BR>\n" );
document.write( "I'll let the student set up the graph and determine other solutions.<BR>\n" );
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