document.write( "Question 1129988: The Land O’ Lakes High School auditorium has exactly 26 rows of seats. The rows are labeled, in order, from the front of the auditorium to the back from A through Z. There are 8 seats in the row A. Each row after the first row has two more seats than the previous row. There are 10 seats in row B, 12 seats in row C and so on. How many seats are there in row Z?\r
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document.write( "For this answer, I have 58 seats.\r
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document.write( "What is the total number of seats in the Land O’ Lakes High School auditorium?\r
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document.write( "For this answer, I have 1508 seats\r
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document.write( "Land O’ Lakes High School collected $2860 from ticket sales for the winter concert. A ticket was sold for every seat in the auditorium, resulting in a sold out concert. If the price of an adult ticket was three times the price of a student ticket, and twice as many student tickets were sold as adult tickets, what was the price of a student ticket?\r
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document.write( "I cannot figure out this last one. \n" );
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Algebra.Com's Answer #746625 by math_helper(2461)![]() ![]() You can put this solution on YOUR website! Row Z having 58 seats is correct. Good work. \r \n" ); document.write( "\n" ); document.write( "Not sure what you did to find 1508 seats, since you did not show your work. Using (average number of seats per row) x (number of rows): correct total number of seats is ((8 + 58)/2)*26 = 858 \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "For the last part: \n" ); document.write( "let A = number of adult tickets sold \n" ); document.write( "let S = number of student tickets sold \n" ); document.write( " \n" ); document.write( "(eq 1) A + S = 858 (a ticket for every seat was sold) \n" ); document.write( "(eq 2) S = 2A \n" ); document.write( "The total ticket sales information will be used later… \r \n" ); document.write( "\n" ); document.write( "Solve to get \n" ); document.write( "A = 286 \n" ); document.write( "S = 572 \r \n" ); document.write( "\n" ); document.write( "Now, incorporating the total ticket sales: \n" ); document.write( "Let x = price of student ticket, then 3x = price of an adult ticket \n" ); document.write( "2860 = A*(3x) + S*(x) \r \n" ); document.write( "\n" ); document.write( "Plug in for A and S, then solve for x to get the price of a student ticket ($2)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |