document.write( "Question 509600: Lana ordered concert tickets that cost $7.50 for children and $12.00 for adults. She ordered 8 more children's tickets than adults' tickets. Her total bill was $138. How many of each type of ticket did she order? \n" ); document.write( "
Algebra.Com's Answer #341524 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Adult tickets x numbers \n" ); document.write( "Child tickets y numbers \n" ); document.write( "y-x=8 \n" ); document.write( "-1 x + 1 y = 8 .............1 \n" ); document.write( "12 x + 7.5 y = 138 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -7.5 \n" ); document.write( "Multiply (2) by 1 \n" ); document.write( "7.5 x -7.5 y = -60 \n" ); document.write( "12 x 7.5 y = 138 \n" ); document.write( "Add the two equations \n" ); document.write( "19.5 x = 78 \n" ); document.write( "/ 19.5 \n" ); document.write( "x = 4 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "-1 x + 1 y = 8 \n" ); document.write( "-4 + 1 y = 8 \n" ); document.write( " 1 y = 8 + 4 \n" ); document.write( " 1 y = 12 \n" ); document.write( " y = 12 \n" ); document.write( "Adult tickets 4 numbers \n" ); document.write( "Child tickets 12 numbers \n" ); document.write( "m.ananth@hotmail.ca \r \n" ); document.write( "\n" ); document.write( "If you want to solve with one variable \n" ); document.write( "let adults tickets be x numbers \n" ); document.write( "children 's tickets = x+8\r \n" ); document.write( "\n" ); document.write( "12*x+7.5(x+8) = 138\r \n" ); document.write( "\n" ); document.write( "solve for x \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |