document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=138128>Question 138128</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a couple of questions.They are word problems dealing with planning for a dance and keeping the ticket price low.\r<BR>\n" );
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document.write( "1. Band A charges $600 to play for the evening.  Band B charges $350 plus $1.25 for each ticket sold.  Write a linear equation for the cost of each band.  Also find the number of tickets for which the cost of the two bands will be equal.\r<BR>\n" );
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document.write( "2.  A caterer charges a fixed cost for preparing dinner plus a cost for each person served.  You know that the cost for 100 people will be$750 and the cost for 150 people will be $ 1050.  Find the caterer's fixed cost and the cost per person served.\r<BR>\n" );
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document.write( "3.From the information above , assume that 200 people will come to the dance.  Which band would you choose and the cost per ticket that you need to charge to cover expenses?\r<BR>\n" );
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document.write( "Please, please HELP!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100928 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=100928\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Band A charges $600 to play for the evening. Band B charges $350 plus $1.25 for each ticket sold. Write a linear equation for the cost of each band. Also find the number of tickets for which the cost of the two bands will be equal.\r<BR>\n" );
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document.write( "Let x = number of tickets that will make the band costs equal.<BR>\n" );
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document.write( "Band B cost = Band A cost<BR>\n" );
document.write( "1.25x + 350 = 600<BR>\n" );
document.write( "1.25x = 600 - 350; subtracted 350 from both sides<BR>\n" );
document.write( "1.25x = 250<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=250%2F1.25 ALIGN=MIDDLE  ALT=\"250%2F1.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >; divided both sides by 1.25<BR>\n" );
document.write( "x = 200 Tickets<BR>\n" );
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document.write( "Check solution: 1.25(200) + 350 = 600<BR>\n" );
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document.write( "2. A caterer charges a fixed cost for preparing dinner plus a cost for each person served. You know that the cost for 100 people will be$750 and the cost for 150 people will be $ 1050. Find the caterer's fixed cost and the cost per person served.<BR>\n" );
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document.write( "Let x = per person cost<BR>\n" );
document.write( "Let y = fixed cost<BR>\n" );
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document.write( "Write an equation for each situation<BR>\n" );
document.write( "150x + y = 1050<BR>\n" );
document.write( "100x + y =  750<BR>\n" );
document.write( "------------------Subtracting eliminates y, find x<BR>\n" );
document.write( "50x + 0y = 300<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300%2F50 ALIGN=MIDDLE  ALT=\"300%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = $6 per person<BR>\n" );
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document.write( "Find y: <BR>\n" );
document.write( "100(6) + y = 750<BR>\n" );
document.write( "y = 750 - 600<BR>\n" );
document.write( "y = $150 is the fixed cost.<BR>\n" );
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document.write( "3.From the information above , assume that 200 people will come to the dance. Which band would you choose and the cost per ticket that you need to charge to cover expenses?<BR>\n" );
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document.write( "Check the cost using band A and 200 people, including food<BR>\n" );
document.write( "600 + 150 + (6*200) = <BR>\n" );
document.write( "600 + 150 + 1200 = $1950<BR>\n" );
document.write( "Cost per ticket: = 1950/200 = $9.75 <BR>\n" );
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document.write( "Cost using band B, 200 people, including food:<BR>\n" );
document.write( "350 + 1.25(200) + 150 + (6*200) = <BR>\n" );
document.write( "350 + 250 + 150 + 1200 = $1950<BR>\n" );
document.write( "Cost per ticket: 1950/200 = $9.75<BR>\n" );
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document.write( "It would cost the same </SPAN>\n" );
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