document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198535>Question 1198535</A>: <I><SPAN STYLE=\"word-break: break-all;\"> here were 429 people at a play. Admission was S1 each for adults and 75<BR>\n" );
document.write( "cents each for children. The receipts were S372.50. How many children and<BR>\n" );
document.write( "how many adults attended? </SPAN>\n" );
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document.write( "Tutor @MathTherapy has provided a clear solution using formal algebra.<br><BR>\n" );
document.write( "Note that the answer can be obtained informally, USING EXACTLY THE SAME CALCULATIONS, without formal algebra:<br><BR>\n" );
document.write( "If all 429 tickets had been adult tickets, the total cost would have been $429.<br><BR>\n" );
document.write( "The actual total cost was $372.50, which is $56.50 less than $429.<br><BR>\n" );
document.write( "The total cost decreases by $0.25 for each ticket that is a children's ticket instead of an adult ticket.<br><BR>\n" );
document.write( "So the number of children's tickets was<br><PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "  56.50   56.50*4   226\r\n" );
document.write( "  ----- = ------- = --- = 226\r\n" );
document.write( "   0.25    0.25*4    1</PRE><BR>\n" );
document.write( "ANSWER: 226 children's tickets, so 429-226 = 203 adult tickets<br><BR>\n" );
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