document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=875598>Question 875598</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Will the equation 2a+3e=58.75 or 4a+5e=102.50 work for this word problem?\r<BR>\n" );
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document.write( "a-appetizers, e-entrees\r<BR>\n" );
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document.write( "At a restaurant, the Jones family orders two of the same appetizers, and three of the same entrees. Their bill (not including tax and/or tip) came to $58.75. \r<BR>\n" );
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document.write( "Later, the Williamsons ordered the same appetizers and entrees, just on different quantities. The  Williamsons ordered four appetizers and five entrees. Their bill (not including tax and/or tip) came to $102.50. \r<BR>\n" );
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document.write( "What was the cost of the appetizer and the entree that the families ordered?\r<BR>\n" );
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document.write( "I have tried using 2a+3e=58.75 but I don't know what to do next with my answer.\r<BR>\n" );
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document.write( "My work:\r<BR>\n" );
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document.write( "2a+3e=58.75<BR>\n" );
document.write( "-3e on both sides<BR>\n" );
document.write( "2a=58.75-3e<BR>\n" );
document.write( "divide by 2 on both sides<BR>\n" );
document.write( "a=29.375-3/2e<BR>\n" );
document.write( "a=29.375-1.5e\r<BR>\n" );
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document.write( "I tried pluging in 'a' into the original equation<BR>\n" );
document.write( "2(29.375-1.5e)+3e=58.75<BR>\n" );
document.write( "58.75-3e+3e=58.75<BR>\n" );
document.write( "58.75=58.75 - which is one and I don't think that's the answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #528320 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=528320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2a + 3e =  58.75<BR>\n" );
document.write( "4a + 5e = 102.50<BR>\n" );
document.write( "solve first equation for a<BR>\n" );
document.write( "2a = 58.75 - 3e<BR>\n" );
document.write( "a = (58.75 - 3e) / 2<BR>\n" );
document.write( "now substitute for a in the second equation<BR>\n" );
document.write( "4(58.75 - 3e) / 2 +5e = 102.50<BR>\n" );
document.write( "2(58.75 - 3e) + 5e = 102.50<BR>\n" );
document.write( "117.50 - 6e + 5e = 102.50<BR>\n" );
document.write( "-e = -15<BR>\n" );
document.write( "e = 15.00<BR>\n" );
document.write( "now substitute for e in first equation<BR>\n" );
document.write( "2a + 45.00 = 58.75<BR>\n" );
document.write( "2a = 13.75<BR>\n" );
document.write( "a = 6.875<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "e = $15.00 and a = $6.875<BR>\n" );
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document.write( " </SPAN>\n" );
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