document.write( "Question 728769: The school is selling tickets to a performance, adult and child tickets. Each adult ticket is $5 and each child ticket is $3. By the end of the week, there was $178 in sales from 42 tickets sold. How many of each type of ticket was sold that week? \n" ); document.write( "
Algebra.Com's Answer #445584 by mananth(16946) You can put this solution on YOUR website! x= number of adult tickets \n" ); document.write( "y= number of child tickets \n" ); document.write( "Total sold \n" ); document.write( "1 x + 1 y = 42 .............1 \n" ); document.write( "Total value \n" ); document.write( "5 x + 3 y = 178 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -3 \n" ); document.write( "Multiply (2) by 1 \n" ); document.write( "-3 x -3 y = -126 \n" ); document.write( "5 x + 3 y = 178 \n" ); document.write( "Add the two equations \n" ); document.write( "2 x = 52 \n" ); document.write( "/ 2 \n" ); document.write( "x = 26 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1 x + 1 y = 42 \n" ); document.write( "26 + y = 42 \n" ); document.write( " y = 42 -26 \n" ); document.write( " y = 16 \n" ); document.write( " y = 16 \n" ); document.write( "x= 26 number of adult tickets \n" ); document.write( "y= 16 number of child tickets \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |