document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1141404>Question 1141404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The manager of an apartment complex is also a tenant. He pays only three-fourths of the monthly rent that each of the remaining 7 tenants pays. Each month, a total of $6,200 in rent is paid by the 8 occupants. How much rent does the manager pay?\r<BR>\n" );
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document.write( "Write a system of two equations in two variables to solve the problem.<BR>\n" );
document.write( "A law firm hired several workers to help finish a large project. From the following billing records, determine the daily fee charged by the employment agency for a clerk-typist and for a computer programmer. (Assume a = 702 and b = 1000.)\r<BR>\n" );
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document.write( "Write a system of two equations in two variables to solve the problem.<BR>\n" );
document.write( "How many pounds of each candy shown must be mixed to obtain 100 pounds of candy that would be worth $4.40 per pound? gummy bears $3.50 lb and jelly beans $5.50 lb  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #761937 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=761937\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---------------<BR>\n" );
document.write( "The manager of an apartment complex is also a tenant. He pays only three-fourths of the monthly rent that each of the remaining 7 tenants pays. Each month, a total of $6,200 in rent is paid by the 8 occupants. How much rent does the manager pay? <BR>\n" );
document.write( "Write a system of two equations in two variables to solve the problem.<BR>\n" );
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document.write( "x, what a tenant pays<BR>\n" );
document.write( "(3/4)x, the amount manager pays as tenant\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B%283%2F4%29x=6200 ALIGN=MIDDLE  ALT=\"7x%2B%283%2F4%29x=6200\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<u>ALTERNATIVE WAY</u>:<BR>\n" );
document.write( "w, what manager pays as tenant\r<BR>\n" );
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document.write( "(4/3)w, what the other tenants pay\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%287%2A%284%2F3%29w%2Bw=6200%29 ALIGN=MIDDLE  ALT=\"highlight_green%287%2A%284%2F3%29w%2Bw=6200%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "SOLVE THIS FOR w.<BR>\n" );
document.write( "That is what the manager pays.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2A4w%2B3w=3%2A6200 ALIGN=MIDDLE  ALT=\"7%2A4w%2B3w=3%2A6200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31w=3%2A6200 ALIGN=MIDDLE  ALT=\"31w=3%2A6200\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=%283%2A6200%29%2F31 ALIGN=MIDDLE  ALT=\"w=%283%2A6200%29%2F31\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=%283%2A2%2A31%2A100%29%2F31 ALIGN=MIDDLE  ALT=\"w=%283%2A2%2A31%2A100%29%2F31\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=600 ALIGN=MIDDLE  ALT=\"w=600\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "THE TWO OTHER QUESTIONS:\r<BR>\n" );
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document.write( "A law firm hired several workers to help finish a large project. From the following billing records, determine the daily fee charged by the employment agency for a clerk-typist and for a computer programmer. (Assume a = 702 and b = 1000.) <BR>\n" );
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document.write( "The description is incomplete so cannot be answered in any way.\r<BR>\n" );
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document.write( "Write a system of two equations in two variables to solve the problem.<BR>\n" );
document.write( "How many pounds of each candy shown must be mixed to obtain 100 pounds of candy that would be worth $4.40 per pound? gummy bears $3.50 lb and jelly beans $5.50 lb<BR>\n" );
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document.write( "Standard two-part mixture problem.  There are many lessons on it in many sources both online and offline.\r<BR>\n" );
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document.write( "g, Gummybears<BR>\n" );
document.write( "j, Jellybeans<BR>\n" );
document.write( "M, 100 pounds of mixture<BR>\n" );
document.write( "L, 3.5 dollars per pound, price of gummy bears<BR>\n" );
document.write( "H, 5.5 dollars per pound, price of jelly beans<BR>\n" );
document.write( "T, 4.4 dollars per pound, the target price for the mixture\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28g%2Bj=M%2CgL%2BjH=MT%29 ALIGN=MIDDLE  ALT=\"system%28g%2Bj=M%2CgL%2BjH=MT%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--------Your system of equations in two variables.  If using purely in symbols, you can use substitution method to solve for each variable g and j.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g=M-j ALIGN=MIDDLE  ALT=\"g=M-j\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ML-jL%2BjH=MT ALIGN=MIDDLE  ALT=\"ML-jL%2BjH=MT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=gL%2B%28M-g%29H=MT ALIGN=MIDDLE  ALT=\"gL%2B%28M-g%29H=MT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=gL-gH=MT-MH ALIGN=MIDDLE  ALT=\"gL-gH=MT-MH\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28L-H%29=MT-MH ALIGN=MIDDLE  ALT=\"g%28L-H%29=MT-MH\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g=%28MT-MH%29%2F%28L-H%29 ALIGN=MIDDLE  ALT=\"g=%28MT-MH%29%2F%28L-H%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g=%28-1%2F-1%29%28%28MT-MH%29%2F%28L-H%29%29 ALIGN=MIDDLE  ALT=\"g=%28-1%2F-1%29%28%28MT-MH%29%2F%28L-H%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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