document.write( "Question 695012: Alan bought $20.40 worth of cheese and butter. A pound of cheese cost $2.40 and a pound of butter cost $3.20 The cheese and butter together weighed 7.5 pounds. How many pounds of each did he buy? \n" ); document.write( "
Algebra.Com's Answer #804518 by CubeyThePenguin(3113)![]() ![]() You can put this solution on YOUR website! c = pounds of cheese \n" ); document.write( "b = pounds of butter\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c + b = 7.5 \n" ); document.write( "2.4c + 3.2b = 20.40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiply the first equation by 3.2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3.2c + 3.2b = 24 \n" ); document.write( "2.4c + 3.2b = 20.40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, 0.8c = 3.6 --> c = 4.5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Alan bought 4.5 pounds of cheese and 3 pounds of butter. \n" ); document.write( " |