document.write( "Question 328117: movie tickets for an adult and three children cost $20. An adult's ticket costs $2 more than a child's ticket. FInd the cost of the adult's ticket. \n" ); document.write( "
Algebra.Com's Answer #235012 by meay7c(10)![]() ![]() You can put this solution on YOUR website! Here we are to calculate the cost of an adult ticket.\r \n" ); document.write( "\n" ); document.write( "We know:\r \n" ); document.write( "\n" ); document.write( "1 adult ticket was purchased. \n" ); document.write( "3 children's tickets were purchased. \n" ); document.write( "The adult ticket was $2 more than the children's ticket. \n" ); document.write( " \n" ); document.write( "So:\r \n" ); document.write( "\n" ); document.write( "Let x = cost of children's tickets.\r \n" ); document.write( "\n" ); document.write( "Let x + 2 = cost of adult ticket.\r \n" ); document.write( "\n" ); document.write( "Also we know the total cost for all the tickets is $20\r \n" ); document.write( "\n" ); document.write( "Based on this information let's create an equation:\r \n" ); document.write( "\n" ); document.write( "3x + (x + 2) = 20\r \n" ); document.write( "\n" ); document.write( "Now let's simplify.\r \n" ); document.write( "\n" ); document.write( "3x + x + 2 = 20 \n" ); document.write( " \n" ); document.write( "4x + 2 = 20\r \n" ); document.write( "\n" ); document.write( "4x = 18\r \n" ); document.write( "\n" ); document.write( "x = 4.50\r \n" ); document.write( "\n" ); document.write( "The cost of each of the children's tickets is $4.50, therefore the cost of the adult ticket $6.50 (4.50 + 2).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's plug in x to check our solution:\r \n" ); document.write( "\n" ); document.write( "3(4.50) + 4.50 + 2 = 20 Yes !!!\r \n" ); document.write( "\n" ); document.write( "The cost of the adult ticket is $6.50.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Good Luck :-)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |