document.write( "Question 243537: The Village Inn offers two special packages. For two nights and three meals the cost is $158. For two nights and five meals the cost is $181. Write and solve a system of linear equations to find the costs per night and per meal. \n" ); document.write( "
Algebra.Com's Answer #178457 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! 2n+3m=158 \n" ); document.write( "-(2n+5m=181) subtract. \n" ); document.write( "------------------- \n" ); document.write( "-2m=-23 \n" ); document.write( "m=-23/-2 \n" ); document.write( "m=$11.50 cost of a meal. \n" ); document.write( "2n+3*11.50=158 \n" ); document.write( "2n+34.50=158 \n" ); document.write( "2n=158-34.50 \n" ); document.write( "2n=123.50 \n" ); document.write( "n=123.50/2 \n" ); document.write( "n=$61.75 cost of a nights lodging. \n" ); document.write( "Proof: \n" ); document.write( "2*61.75+5*11.50=181 \n" ); document.write( "123.50+57.50=181 \n" ); document.write( "181=181\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |