document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1111570>Question 1111570</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Problem Page Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $25 and same-day tickets cost $20 . For one performance, there were 35 tickets sold in all, and the total amount paid for them was $800 . How many tickets of each type were sold? </SPAN>\n" );
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document.write( "Here is a quick path to the solution using mental arithmetic and some logical reasoning.<br><BR>\n" );
document.write( "(1) If all 35 tickets had been same day tickets, the total amount paid would have been $700, which is $100 less than the actual total.<BR>\n" );
document.write( "(2) Each advance ticket costs $5 more than each same day ticket.<BR>\n" );
document.write( "(3) To make the other $100 of the actual total, the number of advance tickets has to be 100/5 = 20.<br><BR>\n" );
document.write( "So there were 20 advance tickets, which means there were 35-20=15 same day tickets. </SPAN>\n" );
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