document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59811>Question 59811</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078213479/algebrahomeworkh>Alegbra Concepts and Applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I cannot figrue out this word problem help please!!\r<BR>\n" );
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document.write( "Mr. Adams buys a bag or apples and a bag of pears for a total of $14. There are eight pounds of fruit in all. The apples cost $1.50 per pound, and the pears cost $2.30 per pound. How many pounds of pears did he buy?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41063 by </B><A HREF=/tutors/aboutme.mpl?userid=joyofmath><B>joyofmath(189)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=joyofmath><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=41063\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5Ba%5D ALIGN=MIDDLE  ALT=\"w%5Ba%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = weight of apples.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5Bp%5D ALIGN=MIDDLE  ALT=\"w%5Bp%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = weight of pears.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5Ba%5D ALIGN=MIDDLE  ALT=\"c%5Ba%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = cost per pound of apples.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5Bp%5D ALIGN=MIDDLE  ALT=\"c%5Bp%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = cost per pount of pears.\r<BR>\n" );
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document.write( "(1) Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5Ba%5D%2Bw%5Bp%5D=8 ALIGN=MIDDLE  ALT=\"w%5Ba%5D%2Bw%5Bp%5D=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > because Mr. Adams bought 8 pounds of fruit.<BR>\n" );
document.write( "(2) Also <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5Ba%5D%2Aw%5Ba%5D%2Bc%5Bp%5D%2Aw%5Bp%5D=14 ALIGN=MIDDLE  ALT=\"c%5Ba%5D%2Aw%5Ba%5D%2Bc%5Bp%5D%2Aw%5Bp%5D=14\"   DISABLED_style= \"max-width:90%; height:auto;\" > because the fruit cost $14.<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5Ba%5D=1.5 ALIGN=MIDDLE  ALT=\"c%5Ba%5D=1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > because apples cost $1.50 per pound.<BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5Bp%5D=2.3 ALIGN=MIDDLE  ALT=\"c%5Bp%5D=2.3\"   DISABLED_style= \"max-width:90%; height:auto;\" > because pears cost $2.30 per pound.\r<BR>\n" );
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document.write( "In (1) we substract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5Ba%5D ALIGN=MIDDLE  ALT=\"w%5Ba%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides of the equation and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5Bp%5D=8-w%5Ba%5D ALIGN=MIDDLE  ALT=\"w%5Bp%5D=8-w%5Ba%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In (2) we replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5Ba%5D ALIGN=MIDDLE  ALT=\"c%5Ba%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5Bp%5D ALIGN=MIDDLE  ALT=\"c%5Bp%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > with 1.5 and 2.3 respectively. We then get:<BR>\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2Aw%5Ba%5D%2B2.3%2Aw%5Bp%5D=14 ALIGN=MIDDLE  ALT=\"1.5%2Aw%5Ba%5D%2B2.3%2Aw%5Bp%5D=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But, we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5Bp%5D=8-w%5Ba%5D ALIGN=MIDDLE  ALT=\"w%5Bp%5D=8-w%5Ba%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > so we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2Aw%5Ba%5D%2B2.3%2A%288-w%5Ba%5D%29=14 ALIGN=MIDDLE  ALT=\"1.5%2Aw%5Ba%5D%2B2.3%2A%288-w%5Ba%5D%29=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which expands to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2Aw%5Ba%5D%2B2.3%2A8-2.3%2Aw%5Ba%5D=14 ALIGN=MIDDLE  ALT=\"1.5%2Aw%5Ba%5D%2B2.3%2A8-2.3%2Aw%5Ba%5D=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2Aw%5Ba%5D%2B18.4-2.3%2Aw%5Ba%5D=14 ALIGN=MIDDLE  ALT=\"1.5%2Aw%5Ba%5D%2B18.4-2.3%2Aw%5Ba%5D=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-.8%2Aw%5Ba%5D%2B18.4=14 ALIGN=MIDDLE  ALT=\"-.8%2Aw%5Ba%5D%2B18.4=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-.8%2Aw%5Ba%5D=-4.4 ALIGN=MIDDLE  ALT=\"-.8%2Aw%5Ba%5D=-4.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-.8 ALIGN=MIDDLE  ALT=\"-.8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5Ba%5D=5.5 ALIGN=MIDDLE  ALT=\"w%5Ba%5D=5.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, Mr. Adams bought 5.5 bags of apples.<BR>\n" );
document.write( "He bought 8 pounds of fruit in total so he bought 2.5 pounds of pears, which is the answer to the question.\r<BR>\n" );
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document.write( "To verify the answer:\r<BR>\n" );
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document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5Ba%5D=5.5 ALIGN=MIDDLE  ALT=\"w%5Ba%5D=5.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5Bp%5D=2.5 ALIGN=MIDDLE  ALT=\"w%5Bp%5D=2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then, from (2) above <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5Ba%5D%2Aw%5Ba%5D%2Bc%5Bp%5D%2Aw%5Bp%5D=14 ALIGN=MIDDLE  ALT=\"c%5Ba%5D%2Aw%5Ba%5D%2Bc%5Bp%5D%2Aw%5Bp%5D=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Or, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2A5.5%2B2.3%2A2.5 ALIGN=MIDDLE  ALT=\"1.5%2A5.5%2B2.3%2A2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > should equal 14<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2A5.5=8.25 ALIGN=MIDDLE  ALT=\"1.5%2A5.5=8.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.3%2A2.5=5.75 ALIGN=MIDDLE  ALT=\"2.3%2A2.5=5.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, indeed, 8.25+5.75=14 </SPAN>\n" );
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