document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011818>Question 1011818</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HI i'm a little stuck on this current problem of mine.  Would love some help and insight.  thank you in adavance :)\r<BR>\n" );
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document.write( "Suppose that a household spent $350 less in 2015 by purchasing its cars and home<BR>\n" );
document.write( "insurances from Company A than it had done in 2014 by purchasing the cars<BR>\n" );
document.write( "insurances from Company B and the home insurance from Company C. Given that<BR>\n" );
document.write( "&#61623; the household had spent a maximum of $2,000 on insurances in 2015, and<BR>\n" );
document.write( "&#61623; the household spent $50 less on cars insurances to Company B than on<BR>\n" );
document.write( "home insurance to Company C in 2014,<BR>\n" );
document.write( "write an inequality to represent the amount that the total household spent to<BR>\n" );
document.write( "Companies B and C in 2014. Hence, using the inequalities found, determine the<BR>\n" );
document.write( "maximum amount the household spent to each of these companies in 2014 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627613 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=627613\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that a household spent $350 less in 2015 by purchasing its cars and home<BR>\n" );
document.write( "insurances from Company A than it had done in 2014 by purchasing the cars<BR>\n" );
document.write( "insurances from Company B and the home insurance from Company C. Given that<BR>\n" );
document.write( "&#61623; the household had spent a maximum of $2,000 on insurances in 2015, and<BR>\n" );
document.write( "&#61623; the household spent $50 less on cars insurances to Company B than on<BR>\n" );
document.write( "home insurance to Company C in 2014,<BR>\n" );
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document.write( "Write the above using symbols::<BR>\n" );
document.write( "A = B+C-350<BR>\n" );
document.write( "A <= 2000<BR>\n" );
document.write( "B = C-50<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "write an inequality to represent the amount that the total household spent to<BR>\n" );
document.write( "Companies B and C in 2014. <BR>\n" );
document.write( "B+C -350 <= 2000<BR>\n" );
document.write( "B+C <= 2350<BR>\n" );
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document.write( "Hence, using the inequalities found, determine the<BR>\n" );
document.write( "maximum amount the household spent to each of these companies in 2014<BR>\n" );
document.write( "Substitute for \"B\" to get:<BR>\n" );
document.write( "C-50 + C <= 2350<BR>\n" );
document.write( "2C <= 2400<BR>\n" );
document.write( "C <= $1200<BR>\n" );
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document.write( "Then B <= 2350-1200 = $1150<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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