document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=419823>Question 419823</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Movie tickets cost $5 for children, $8 for adults and $4 for seniors. The theater earned $1890 in a day. Five times as many adults attended as seniors. Twice as many children attended as seniors. Set up and solve a system of equations, to find how many of each type of ticket was sold.<BR>\n" );
document.write( "Any help would be greatly appreciated!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #293554 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=293554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Movie tickets cost $5 for children, $8 for adults and $4 for seniors.<BR>\n" );
document.write( " The theater earned $1890 in a day. Five times as many adults attended as seniors.<BR>\n" );
document.write( " Twice as many children attended as seniors.<BR>\n" );
document.write( " Set up and solve a system of equations, to find how many of each type of ticket was sold.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let c = no. of children<BR>\n" );
document.write( "Let a = no. of adults<BR>\n" );
document.write( "Let s = no. seniors<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write an equation for each sentence:<BR>\n" );
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document.write( "\"The theater earned $1890 in a day.\"<BR>\n" );
document.write( "5c + 8a + 4s = 1890<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"Five times as many adults attended as seniors.\"<BR>\n" );
document.write( "a = 5s<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\" Twice as many children attended as seniors.\"<BR>\n" );
document.write( "c = 2s<BR>\n" );
document.write( ":<BR>\n" );
document.write( "5c + 8a + 4s = 1890<BR>\n" );
document.write( " replace c with 2s; replace a with 5s<BR>\n" );
document.write( "5(2s) + 8(5s) + 4s = 1890<BR>\n" );
document.write( "10s + 40s + 4s = 1890<BR>\n" );
document.write( "54s = 1890<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1890%2F54 ALIGN=MIDDLE  ALT=\"1890%2F54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 35 Seniors<BR>\n" );
document.write( "then<BR>\n" );
document.write( "a = 5(35)<BR>\n" );
document.write( "a = 175 adults<BR>\n" );
document.write( "and<BR>\n" );
document.write( "c = 2(35)<BR>\n" );
document.write( "c = 70 children<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution<BR>\n" );
document.write( "70(5) + 175(8) + 35(4) =<BR>\n" );
document.write( "350 + 1400 + 140 = 1890; confirms our solutions\r<BR>\n" );
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document.write( " </SPAN>\n" );
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