document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=124905>Question 124905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Corporation Wally Mart allows each of its traveling employees an amount of money per day for a hotel room and food expenses.  One employee travels for 4 days and 4 nights and is allotted $480 while another employee travels for 3 days and 2 nights and is allotted $270. a)  Give the system of equations for solving this situation.  b)  Find the amount allowed for a hotel room and daily food expenses </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91738 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=91738\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = daily amt of hotel<BR>\n" );
document.write( "Let y = daily amt for food<BR>\n" );
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document.write( "a) Give the system of equations for solving this situation.<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"One employee travels for 4 days and 4 nights and is allotted $480\"<BR>\n" );
document.write( " 4x + 4y = 480<BR>\n" );
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document.write( "\" another employee travels for 3 days and 2 nights and is allotted $270.\"<BR>\n" );
document.write( " 2x + 3y = 270<BR>\n" );
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document.write( " b) Find the amount allowed for a hotel room and daily food expenses<BR>\n" );
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document.write( "Multiply the 2nd equation by 2 and subtract the 1st equation from it<BR>\n" );
document.write( "4x + 6y = 540<BR>\n" );
document.write( "4x + 4y = 480<BR>\n" );
document.write( "------------------subtracting eliminates x, find y<BR>\n" );
document.write( "0x + 2y =  60<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F2 ALIGN=MIDDLE  ALT=\"60%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = $30 a day for food<BR>\n" );
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document.write( "Find x, substitute 30 for y in the 1st equation<BR>\n" );
document.write( "4x + 4(30) = 480<BR>\n" );
document.write( "4x + 120 = 480<BR>\n" );
document.write( "4x = 480 - 120<BR>\n" );
document.write( "4x = 360<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2F4 ALIGN=MIDDLE  ALT=\"360%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = $90 a night for hotel<BR>\n" );
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document.write( "Check solutions in the 2nd equation, substitute for x and y<BR>\n" );
document.write( "2(90) + 3(30) =<BR>\n" );
document.write( "180 + 90 = 270 as given<BR>\n" );
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document.write( "Did I explain this so you could understand what we did here? Any questions? </SPAN>\n" );
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