document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147690>Question 147690</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A grocer mixed peanuts(whose price is 90 cents per kilogram)with almonds(whose price is $1.10 per kilogram)to make a 20-kilogram mixture of nuts for sale at 98 cents per kilogram. How many kilograms of peanuts and how many kilograms of almonds are in the mixture? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108076 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=108076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With two variables------x=number of kilograms of 90cent peanuts and y=number of kilograms of 110cent almonds.\r<BR>\n" );
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document.write( "Set up an equation using the word problem: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90x%2B110y=98%2820%29 ALIGN=MIDDLE  ALT=\"90x%2B110y=98%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > because the coefficients are the prices of the almonds and peanuts and the variable and 20 are the number of them.  Then set up another equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=20 ALIGN=MIDDLE  ALT=\"x%2By=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > because the sum of the kilograms is 20.  Then solve for x and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=20-y ALIGN=MIDDLE  ALT=\"x=20-y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Plug that in the first equation and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%2820-y%29%2B110y=98%2820%29 ALIGN=MIDDLE  ALT=\"90%2820-y%29%2B110y=98%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Then distribute and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1800-90y%2B110y=1960 ALIGN=MIDDLE  ALT=\"1800-90y%2B110y=1960\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Combine like terms and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1800%2B20y=1960 ALIGN=MIDDLE  ALT=\"1800%2B20y=1960\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Subtract 1800 from both sides and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20y=160 ALIGN=MIDDLE  ALT=\"20y=160\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Divide both sides by 20 and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=8 ALIGN=MIDDLE  ALT=\"y=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Then plug 8 in for y in the second equation and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B8=20 ALIGN=MIDDLE  ALT=\"x%2B8=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  So x=12.  So 8 kilograms of 110cent almonds and 12 kilograms of 90 cent peanuts is your final answer.\r<BR>\n" );
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document.write( "With one variable------x=number of kilograms of 90cent peanuts and 20-x=number of kilograms of 110cent almonds.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90x%2B110%2820-x%29=98%2820%29 ALIGN=MIDDLE  ALT=\"90x%2B110%2820-x%29=98%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Distribute and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90x%2B2200-110x=1960 ALIGN=MIDDLE  ALT=\"90x%2B2200-110x=1960\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Then combine like terms and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2200-20x=1960 ALIGN=MIDDLE  ALT=\"2200-20x=1960\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Subtract 2200 from each side and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-20x=-240 ALIGN=MIDDLE  ALT=\"-20x=-240\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Divide both sides by 20 and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=12 ALIGN=MIDDLE  ALT=\"x=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This is the number of kilograms of 90 cents peanuts. Then do 20-x or 20-12 and get 8. This is the number of kilograms of 110cent almonds. So 8 kilograms of 110cent almonds and 12 kilograms of 90 cent peanuts is your final answer. </SPAN>\n" );
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