document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=89745>Question 89745</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131430734/algebrahomeworkh>Algegra & Trigonometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solve the problem. <BR>\n" );
document.write( "The Family Fine Arts Center charges $21 per adult and $13 per senior citizen for its performances. On a recent weekend evening when 535 people paid admission, the total receipts were $8355. How many who paid were senior citizens? \r<BR>\n" );
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document.write( "I am struggling with the right formula to use. Do I use an arthimetic or geometric sequence? Thanks in advance for the help! Annie C.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #65185 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=65185\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Family Fine Arts Center charges $21 per adult and $13 per senior citizen for its performances. On a recent weekend evening when 535 people paid admission, the total receipts were $8355. How many who paid were senior citizens?<BR>\n" );
document.write( "I am struggling with the right formula to use. Do I use an arthimetic or geometric sequence?<BR>\n" );
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document.write( "Algebra would be way to go, You can do it with just one equation:<BR>\n" );
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document.write( "Let x = no. of senior citizens<BR>\n" );
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document.write( "It said there were a total of 535 people, therefore:<BR>\n" );
document.write( "(535-x) = no. of adults<BR>\n" );
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document.write( "adults $amt + seniors $amt = $8355<BR>\n" );
document.write( "21(535-x) + 13x = 8355<BR>\n" );
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document.write( "11235 - 21x + 13x = 8355; multiply what's inside the brackets<BR>\n" );
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document.write( "-21x + 13s = 8355 - 11235; subtract 11235 from both sides<BR>\n" );
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document.write( "-8x = -2880<BR>\n" );
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document.write( "8x = 2880; multiplied equation by -1, to get rid of the negatives<BR>\n" );
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document.write( "x = 2880/8<BR>\n" );
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document.write( "x = 360 seniors<BR>\n" );
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document.write( "Check our solution; find no. of adults: 535 - 360 = 175 adults:<BR>\n" );
document.write( "21(175) + 13(360) = <BR>\n" );
document.write( "3675 + 4680 = 8355<BR>\n" );
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document.write( "Did this help you? </SPAN>\n" );
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