document.write( "Question 781635: tickets for a movie cost $7.25 for adults and $5.75 for children. One day 12 tickets were sold for $81.00. How many of each ticket were sold? \n" ); document.write( "
Algebra.Com's Answer #476004 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! x = number of children tickets sold \n" ); document.write( "12 - x = number of adult tickets sold {total number of tickets sold was 12}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5.75x + 7.25(12 - x) = 81 {price of ticket times number of tickets equals total price} \n" ); document.write( "5.75x + 87 - 7.25x = 81 {used distributive property} \n" ); document.write( "-1.5x + 87 = 81 {combined like terms} \n" ); document.write( "-1.5x = -6 {subtracted 87 from each side} \n" ); document.write( "x = 4 children tickets {divided each side by -1.5} \n" ); document.write( "12 - x = 8 adult tickets {substituted 4, in for x, into 12 - x}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4 children tickets \n" ); document.write( "8 adult tickets \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |