document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=379084>Question 379084</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve.\r<BR>\n" );
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document.write( "the cost of admission to the spring carnival was $50 for a group of 9 children and 2 adults. the admission was $61 for another group of 10 children and 3 adults. what was the admission price for each child? what was the admission price for each adult?\r<BR>\n" );
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document.write( "this is what i have so far, im stuck.\r<BR>\n" );
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document.write( "children=c adults=a\r<BR>\n" );
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document.write( "$50=9c+2a<BR>\n" );
document.write( "$61=10c+3a </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #269320 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=269320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the cost of admission to the spring carnival was $50 for a group of 9 children and 2 adults.<BR>\n" );
document.write( " the admission was $61 for another group of 10 children and 3 adults.<BR>\n" );
document.write( " what was the admission price for each child?<BR>\n" );
document.write( "what was the admission price for each adult? <BR>\n" );
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document.write( "I would write it like this (but your way is OK too)<BR>\n" );
document.write( "9c + 2a = 50<BR>\n" );
document.write( "10c + 3a = 61<BR>\n" );
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document.write( "To use elimination, multiply the 1st equation by 3, the 2nd equation by 2:<BR>\n" );
document.write( "27c + 6a = 150<BR>\n" );
document.write( "20c + 6a = 122<BR>\n" );
document.write( "----------------Subtraction eliminates a, find c<BR>\n" );
document.write( "7c = 28<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%2F7 ALIGN=MIDDLE  ALT=\"28%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c = $4 for children<BR>\n" );
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document.write( "Use the 1st original equation to find a, replace c with 4<BR>\n" );
document.write( "9c + 2a = 50<BR>\n" );
document.write( "9(4) + 2a = 50<BR>\n" );
document.write( "36 + 2a = 50<BR>\n" );
document.write( "2a = 50 - 36<BR>\n" );
document.write( "2a = 14<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F2 ALIGN=MIDDLE  ALT=\"14%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = $7 for adults<BR>\n" );
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document.write( "We can check these solutions in the 2nd original equation<BR>\n" );
document.write( "10c + 3a = 61<BR>\n" );
document.write( "10(4) + 3(7) = 61<BR>\n" );
document.write( "40 + 21 = 61, confirms our solution<BR>\n" );
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document.write( "How about this, did it make sense to you now? </SPAN>\n" );
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