document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=71922>Question 71922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> at the highschool band's annual spaghetti dinner, the members served 210 dinners and collected $935. the band leader did not designate which ticket was an adult or child dinner. you need to know that to prepare the correct amount of food and for future planning. each adult dinner costs $6 and each child's dinner cost $3.50.\r<BR>\n" );
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document.write( "let a = number of adult dinners and c = number of child dinners\r<BR>\n" );
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document.write( "a. write two equations to represent the total amountraised from the dinner and the total number of adult and children's dinners sold.\r<BR>\n" );
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document.write( "b. how many adult dinners were sold and how many child dinners were sold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #51405 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=51405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the members served 210 dinners and collected $935. the band leader did not designate which ticket was an adult or child dinner. you need to know that to prepare the correct amount of food and for future planning. each adult dinner costs $6 and each child's dinner cost $3.50.<BR>\n" );
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document.write( "a + c = 210<BR>\n" );
document.write( "6a + 3.5c = 935<BR>\n" );
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document.write( "Solve 1st equation for \"a\" to get a = 210-c<BR>\n" );
document.write( "Substitute into 2nd equation:<BR>\n" );
document.write( "6(210-c) + 3.5c = 935<BR>\n" );
document.write( "1260 - 6c + 3.5 c = 935<BR>\n" );
document.write( "-2.5c = -325<BR>\n" );
document.write( "c = 130   (# of child tickets)<BR>\n" );
document.write( "Therefore a = 210 - 130 = 80 (# of adults tickets)\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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