document.write( "Question 553261: Adult tickets to a play cost $22. Tickets for children cost $15. Tickets for 11 people cost a total of $228.00. Write and solve a system of equations to find how many children and how many adults were in the group \n" ); document.write( "
Algebra.Com's Answer #360768 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( " \n" ); document.write( "22 x + 15 y = 228 .............1 \n" ); document.write( "1 x + 1 y = 11 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by 1 \n" ); document.write( "Multiply (2) by -15 \n" ); document.write( "22 x 15 y = 228 \n" ); document.write( "-15 x -15 y = -165 \n" ); document.write( "Add the two equations \n" ); document.write( "7 x = 63 \n" ); document.write( "/ 7 \n" ); document.write( "x = 9.00 OR 9 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "22 x + 15 y = 228 \n" ); document.write( "198 + 15 y = 228 \n" ); document.write( " 15 y = 228-198 \n" ); document.write( " 15 y = 30 \n" ); document.write( " y = 2.00 OR \n" ); document.write( "Adult tickets 9 numbers \n" ); document.write( "child tickets 2 numbers \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |