document.write( "Question 1204986: Patricia's school is selling tickets to the school play. On the first day of ticket sales the school sold 6 children tickets and 5 adults tickets for a total of $130.00 The school collected $284.00 on the second day by selling 12 children tickets and 13 adult tickets. What was the price of each type of ticket? \n" ); document.write( "
Algebra.Com's Answer #841563 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Patricia's school is selling tickets to the school play. On the first day of ticket sales the school sold 6 children tickets and 5 adults tickets for a total of $130.00 The school collected $284.00 on the second day by selling 12 children tickets and 13 adult tickets. What was the price of each type of ticket?\r \n" ); document.write( "\n" ); document.write( "On the first day of ticket sales the school sold 6 children tickets and 5 adults tickets for a total of $130.00 The school collected $284.00 on the second day by selling 12 children tickets and 13 adult tickets. What was the price of each type of ticket?\r \n" ); document.write( "\n" ); document.write( "Let price of child's ticket be $x \n" ); document.write( "Let adult ticket cost $y\r \n" ); document.write( "\n" ); document.write( "FIrst day sale \n" ); document.write( "receipts from child tickets + receipts from adult tickets = 130 \n" ); document.write( "6x+5y =130-------------------------(1) \n" ); document.write( "Second day sale \n" ); document.write( "12x+13y = 284----------------------(2)\r \n" ); document.write( "\n" ); document.write( "Multiply (1) by 2and subtract (2)\r \n" ); document.write( "\n" ); document.write( "12x+10y=260 \n" ); document.write( "12x+13y=284 \n" ); document.write( "--------------- \n" ); document.write( "-3y = -24 \n" ); document.write( "y= 8\r \n" ); document.write( "\n" ); document.write( "substitute 8 in eq(1) \n" ); document.write( "6x+5*8=130 \n" ); document.write( "6x+40= 130 \n" ); document.write( "6x=90 \n" ); document.write( "x=15\r \n" ); document.write( "\n" ); document.write( " the price of a children's ticket is $15, and the price of an adult ticket is $8.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |