document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203891>Question 1203891</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The local theater group anticipates that it can sell about 450 adult tickets and 700 student tickets for an upcoming show. The price of adult tickets will be $3 more than the price of student tickets. How much should each ticket cost if they intend to take in $9,400 from ticket sales? </SPAN>\n" );
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document.write( "Answer: <BR>\n" );
document.write( "Students = $7<BR>\n" );
document.write( "Adults = $10\r<BR>\n" );
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document.write( "Scratch work shown\r<BR>\n" );
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document.write( "x = price for students<BR>\n" );
document.write( "x+3 = price for adults\r<BR>\n" );
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document.write( "700x = revenue from the students<BR>\n" );
document.write( "450(x+3) = revenue from the adults<BR>\n" );
document.write( "700x+450(x+3) = total revenue = 9400<BR>\n" );
document.write( "700x+450(x+3) = 9400\r<BR>\n" );
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document.write( "Solving for x.<BR>\n" );
document.write( "700x+450(x+3) = 9400<BR>\n" );
document.write( "700x+450x+1350 = 9400<BR>\n" );
document.write( "1150x+1350 = 9400<BR>\n" );
document.write( "1150x = 9400-1350<BR>\n" );
document.write( "1150x = 8050<BR>\n" );
document.write( "x = 8050/1150<BR>\n" );
document.write( "x = 7<BR>\n" );
document.write( "x+3 = 7+3 = 10\r<BR>\n" );
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document.write( "The price for each student should be $7, while the price for each adult should be $10.<BR>\n" );
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document.write( " </SPAN>\n" );
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