document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=914499>Question 914499</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here's my problem. Please help me. Thank youuu.\r<BR>\n" );
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document.write( "A machineis supposed to mix peanuts, hazelnuts, cashews, and pecans in the ratio 5:2:2:1. A can containing 500 of these mixed nuts was found to have 269 peanuts 74 cashews and 45 pecans. How many hazelnuts are there? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555149 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=555149\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 269 peanuts, 74 cashews, and 45 pecans add up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=269%2B74%2B45=388 ALIGN=MIDDLE  ALT=\"269%2B74%2B45=388\"   DISABLED_style= \"max-width:90%; height:auto;\" > nuts.<BR>\n" );
document.write( "Since there are 500 nuts in the can,<BR>\n" );
document.write( "and each nut is expected to be<BR>\n" );
document.write( "either a peanut, or a hazelnut, or a cashew, or a pecan<BR>\n" );
document.write( "(no almonds, chestnuts, filberts or any other nuts),<BR>\n" );
document.write( "then the remaining <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500-388=highlight%28112%29 ALIGN=MIDDLE  ALT=\"500-388=highlight%28112%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > nuts are hazelnuts.<BR>\n" );
document.write( "If you want to write both calculations in one, use parentheses, like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500-%28269%2B74%2B45%29=highlight%28112%29 ALIGN=MIDDLE  ALT=\"500-%28269%2B74%2B45%29=highlight%28112%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "or (showing your work)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500-%28269%2B74%2B45%29=500-388=highlight%28112%29 ALIGN=MIDDLE  ALT=\"500-%28269%2B74%2B45%29=500-388=highlight%28112%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
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document.write( "Obviously, that machine is not doing a good job, or else it is mixing the bulk product correctly, but the mix segregates (de-mixes a bit) as it is being packaged.<BR>\n" );
document.write( "If the nuts were in the ratio 5:2:2:1,<BR>\n" );
document.write( "we could split that can containing 500 nuts into 50 groups of 10 nuts,<BR>\n" );
document.write( "with each group including<BR>\n" );
document.write( "5 peanuts, 2 hazelnuts, 2 cashews, and 1 pecan.\r<BR>\n" );
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