document.write( "Question 588103: I am trying to write and solve a system of equation. THe question is 3 large popcorns and 2 small drinks cost $21.00 and another customer bought 2 large popcorns and 4 small drinks for $22.00. Find the cost of a large popcorn and the cost of a small drink. \n" ); document.write( "
Algebra.Com's Answer #374375 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! THe question is 3 large popcorns and 2 small drinks cost $21.00 and another customer bought 2 large popcorns and 4 small drinks for $22.00. Find the cost of a large popcorn and the cost of a small drink. \n" ); document.write( "Equations: \n" ); document.write( "3p + 2d = 21 \n" ); document.write( "2p + 4d = 22 \n" ); document.write( "------------------- \n" ); document.write( "Multiply thru the 1st equation by 2 to get: \n" ); document.write( "6p + 4d = 42 \n" ); document.write( "2p + 4d = 22 \n" ); document.write( "-------------------- \n" ); document.write( "Subtract and solve for \"p\": \n" ); document.write( "4p = 20 \n" ); document.write( "p = $5.00 (cost of one large popcorn) \n" ); document.write( "------ \n" ); document.write( "Solve for \"d\": \n" ); document.write( "3p + 2d = 21 \n" ); document.write( "3*5 + 2d = 21 \n" ); document.write( "15 + 2d = 21 \n" ); document.write( "2d = 6 \n" ); document.write( "d = $3.00 (cost on one drink) \n" ); document.write( "========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "===================== \n" ); document.write( " |