document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1100280>Question 1100280</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The total number of&#8203; restaurant-purchased meals that the average person will eat in a&#8203; restaurant, in a&#8203; car, or at home in a year is 141. The total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 11. Ten more&#8203; restaurant-purchased meals will be eaten in a restaurant than at home. Find the number of&#8203; restaurant-purchased meals eaten in a&#8203; restaurant, the number eaten in a&#8203; car, and the number eaten at home.\r<BR>\n" );
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document.write( "This one's a big one and it is pretty hard. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #714772 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=714772\">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=+a+ ALIGN=MIDDLE  ALT=\"+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of meals eaten in a restaurant<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of meals eaten in a car<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+ ALIGN=MIDDLE  ALT=\"+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of meals eaten at home<BR>\n" );
document.write( "-------------------------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+%2B+c+=+141+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+%2B+c+=+141+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+%2B+c+=+a+%2B+11+ ALIGN=MIDDLE  ALT=\"+b+%2B+c+=+a+%2B+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+c+%2B+10+ ALIGN=MIDDLE  ALT=\"+a+=+c+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Substitute (3) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+%2B+10+%2B+b+%2B+c+=+141+ ALIGN=MIDDLE  ALT=\"+c+%2B+10+%2B+b+%2B+c+=+141+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+a+%2B+11+-+c+ ALIGN=MIDDLE  ALT=\"+b+=+a+%2B+11+-+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute this into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+%2B+10+%2B+a+%2B+11+-+c+%2B+c+=+141+ ALIGN=MIDDLE  ALT=\"+c+%2B+10+%2B+a+%2B+11+-+c+%2B+c+=+141+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+c+%2B+10+ ALIGN=MIDDLE  ALT=\"+a+=+c+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute this into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+%2B+10+%2B+c+%2B+10+%2B+11+-+c+%2B+c+=+141+ ALIGN=MIDDLE  ALT=\"+c+%2B+10+%2B+c+%2B+10+%2B+11+-+c+%2B+c+=+141+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2c+%2B+31+=+141+ ALIGN=MIDDLE  ALT=\"+2c+%2B+31+=+141+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2c+=+110+ ALIGN=MIDDLE  ALT=\"+2c+=+110+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+55+ ALIGN=MIDDLE  ALT=\"+c+=+55+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+c+%2B+10+ ALIGN=MIDDLE  ALT=\"+a+=+c+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+55+%2B+10+ ALIGN=MIDDLE  ALT=\"+a+=+55+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+65+ ALIGN=MIDDLE  ALT=\"+a+=+65+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+a+%2B+11+-+c+ ALIGN=MIDDLE  ALT=\"+b+=+a+%2B+11+-+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+65+%2B+11+-+55+ ALIGN=MIDDLE  ALT=\"+b+=+65+%2B+11+-+55+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+21+ ALIGN=MIDDLE  ALT=\"+b+=+21+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "65 meals are eaten in a restaurant<BR>\n" );
document.write( "21 meals are eaten in a car<BR>\n" );
document.write( "55 meals are eaten at home<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+%2B+c+=+141+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+%2B+c+=+141+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+65+%2B+21+%2B+55+=+141+ ALIGN=MIDDLE  ALT=\"+65+%2B+21+%2B+55+=+141+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+141+=+141+ ALIGN=MIDDLE  ALT=\"+141+=+141+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );