document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=302161>Question 302161</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tickets to a concert were sold to adults for $3 and to students for $2.  If the total receipts were $824 and twice as many adult tickets as student tickets were sold, then how many of each were sold? </SPAN>\n" );
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document.write( "Let the number of adult tickets be \"a\" and the number of student tickets be \"s\".\r<BR>\n" );
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document.write( "3a + 2s = 824 ( The total receipts were $824) ... equation 1<BR>\n" );
document.write( "a = 2s ( twice as many adult tickets as student tickets)... equation 2\r<BR>\n" );
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document.write( "Put equation 2 into equation 1\r<BR>\n" );
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document.write( "3(2s) + 2s = 824<BR>\n" );
document.write( "6s + 2s = 824<BR>\n" );
document.write( "8s = 824<BR>\n" );
document.write( "s = 824/8<BR>\n" );
document.write( "s = 103\r<BR>\n" );
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document.write( "a = 2s<BR>\n" );
document.write( "a = 2(103)<BR>\n" );
document.write( "a = 206\r<BR>\n" );
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document.write( "Therefore, 103 students tickets and 206 adults tickets are sold. </SPAN>\n" );
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