document.write( "Question 796644: the concession stand at an ice hockey rink had receipts of $7200 from selling a total of 3000 sodas and hot dogs. if each soda sold for $2 and each hot dog sold for $4, how many of each were sold? \n" ); document.write( "
Algebra.Com's Answer #481508 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Sodas = x \n" ); document.write( "Hot dogs = y \n" ); document.write( "x + y = 3000.....1 \n" ); document.write( "2x + 4y = 7200.....2 \n" ); document.write( "Multiply Eq (1) by 4 \n" ); document.write( "x + y = 3000.....1 \n" ); document.write( "4x + 4y = 12000.....3 \n" ); document.write( "2x + 4y = 7200......2 \n" ); document.write( "Subtract Eq(2) from Eq(3) \n" ); document.write( "2x = 4800 \n" ); document.write( "x = 2400 \n" ); document.write( "Substitute x = 2400 into \n" ); document.write( "Eq(1) \n" ); document.write( "x + y = 3000.......1 \n" ); document.write( "2400 + y = 3000 \n" ); document.write( "y = 3000 - 2400 \n" ); document.write( "y = 600 \n" ); document.write( "Therefore 2,400 sodas and \n" ); document.write( "600 hot dogs were sold. \n" ); document.write( "Hope this helps. \n" ); document.write( ":-) \n" ); document.write( " |