document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=276055>Question 276055</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer spends $4,000 to obtain 100 head of livestock.Prices are: calves – $120 each; lambs – $50 each; piglets – $25 each. If he purchased at least one animal of each type and fewer than 10 calves,how many lambs did he buy?\r<BR>\n" );
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document.write( "a 44   b 46  c 48   d 50    e  None of the above </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #201325 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=201325\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A farmer spends $4,000 to obtain 100 head of livestock.Prices are: calves – $120 each; lambs – $50 each; piglets – $25 each.<BR>\n" );
document.write( "If he purchased at least one animal of each type and fewer than 10 calves,how many lambs did he buy?<BR>\n" );
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document.write( "Total animal equation:<BR>\n" );
document.write( "C + L + P = 100<BR>\n" );
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document.write( "Total cost equation<BR>\n" );
document.write( "120C + 50L + 25P = 4000<BR>\n" );
document.write( "Simplify, divide by 5<BR>\n" );
document.write( "24C + 10L + 5P = 800<BR>\n" );
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document.write( "Multiply the 1st equation by 5 subtract from the above, get rid of the pigs!<BR>\n" );
document.write( "24C + 10L + 5P = 800<BR>\n" );
document.write( "5C  + 5L  + 5P = 500<BR>\n" );
document.write( "-----------------------Subtraction, eliminates p<BR>\n" );
document.write( "19C + 5L = 300<BR>\n" );
document.write( "5L = 300 - 19C<BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300%2F5 ALIGN=MIDDLE  ALT=\"300%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19%2F5 ALIGN=MIDDLE  ALT=\"19%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >C<BR>\n" );
document.write( "L = 60 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19%2F5 ALIGN=MIDDLE  ALT=\"19%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >C<BR>\n" );
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document.write( "We know L has to be an integer, therefore C has to be a multiple of 5<BR>\n" );
document.write( "they tell his their are fewer than 10 Calves so obviously C = 5<BR>\n" );
document.write( "L = 60 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19%2F5 ALIGN=MIDDLE  ALT=\"19%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >5<BR>\n" );
document.write( "L = 60 - 19<BR>\n" );
document.write( "L = 41 lambs<BR>\n" );
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document.write( "Find the pigs<BR>\n" );
document.write( "100 - 5 - 41 = 54 pigs<BR>\n" );
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document.write( "Check solution by finding the total cost<BR>\n" );
document.write( "120(5) + 41(50) + 25(54) = <BR>\n" );
document.write( "600 + 2050 + 1350 = 4000<BR>\n" );
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