document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84317>Question 84317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> .5c + 5a + 3s = 100<BR>\n" );
document.write( "c + a + s = 100\r<BR>\n" );
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document.write( "There is a fair where childs tickets cost $0.50 and adults tickets cost $5.00 each and senior citizens tickets cost $3.00.  The total amount of tickets sold adds up to be $100.00.  The total number of tickets sold is 100 also. How many children, adults, and seniors went to the fair? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60799 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=60799\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .5c + 5a + 3s = 100<BR>\n" );
document.write( "c + a + s = 100<BR>\n" );
document.write( "There is a fair where childs tickets cost $0.50 and adults tickets cost $5.00 each and senior citizens tickets cost $3.00. The total amount of tickets sold adds up to be $100.00. The total number of tickets sold is 100 also. How many children, adults, and seniors went to the fair?<BR>\n" );
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document.write( "multiply the 1st equation by 2 and subtract the 2nd equation from it:<BR>\n" );
document.write( "1c + 10a + 6s = 200<BR>\n" );
document.write( "1c +  1a + 1s = 100<BR>\n" );
document.write( "--------------------subtraction eliminates c<BR>\n" );
document.write( "0c + 9a + 5s = 100<BR>\n" );
document.write( "5s = 100 - 9a<BR>\n" );
document.write( "s = 100/5 - 9a/5<BR>\n" );
document.write( "s = 20 - 9a/5<BR>\n" );
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document.write( "We know that both s and a have to be integers, this narrows the value of \"a\" down to a multiply of 5. Start with a = 5 and see what we have:<BR>\n" );
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document.write( "s = 20 - (9*5)/5<BR>\n" );
document.write( "s = 20 - 45/5<BR>\n" );
document.write( "s = 20 - 9<BR>\n" );
document.write( "s = 11 seniors and<BR>\n" );
document.write( "a = 5 adults<BR>\n" );
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document.write( "Find c:<BR>\n" );
document.write( "c + 5 + 11 = 100<BR>\n" );
document.write( "c = 100 - 16<BR>\n" );
document.write( "c = 84 children:<BR>\n" );
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document.write( "Check all 3 solutions in the 2nd equation:<BR>\n" );
document.write( ".5(84) + 5(5) + 3(11) = <BR>\n" );
document.write( " 42  + 25  +  33 = 100<BR>\n" );
document.write( ":\r<BR>\n" );
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document.write( " </SPAN>\n" );
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