document.write( "Question 520653: A movie ticket for an adult cost $9.00 and it cost $7.00 for a child. If a total of 118 tickets were sold and the movie theater collected $1022.00 how many adult tickets and how Many childrens tickets were sold? \n" ); document.write( "
Algebra.Com's Answer #346187 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Adult x Tickets \n" ); document.write( "child y Tickets \n" ); document.write( " \n" ); document.write( "1 x + 1 y = 118 .............1 \n" ); document.write( "9 x + 7 y = 1022 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -7 \n" ); document.write( "Multiply (2) by 1 \n" ); document.write( "-7 x -7 y = -826 \n" ); document.write( "9 x 7 y = 1022 \n" ); document.write( "Add the two equations \n" ); document.write( "2 x = 196 \n" ); document.write( "/ 2 \n" ); document.write( "x = 98 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1 x + 1 y = 118 \n" ); document.write( "98 + 1 y = 118 \n" ); document.write( " 1 y = 118 -98 \n" ); document.write( " 1 y = 20 \n" ); document.write( " y = 20 \n" ); document.write( "Adult 98 Tickets \n" ); document.write( "child 20 Tickets \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |