document.write( "Question 983515: Hello, I am having trouble understanding and solving this problem:\r
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document.write( "Carla has $2.40 in nickels and dimes. Deron has $5.50 in dimes and quarters. Deron has as many dimes as Carla has nickels and as many quarters as Carla has dimes. How many of each kind of coin does Carla have?\r
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document.write( "-Thank you. \n" );
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Algebra.Com's Answer #604328 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Carla has $2.40 in nickels and dimes. Deron has $5.50 in dimes and quarters. Deron has as many dimes as Carla has nickels and as many quarters as Carla has dimes. How many of each kind of coin does Carla have?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Carla has $2.40 in nickels and dimes.\r \n" ); document.write( "\n" ); document.write( "Let Carla have x nickels and y dimes \n" ); document.write( "5x+10y=240..............(1)\r \n" ); document.write( "\n" ); document.write( "Deron has x dimes \n" ); document.write( "Deron has y quarters \n" ); document.write( "10x+25y=550...........(2)\r \n" ); document.write( "\n" ); document.write( "Multiply (1) by 2 and subtract (2)\r \n" ); document.write( "\n" ); document.write( "10x+20y=480 \n" ); document.write( "10x+25y=550\r \n" ); document.write( "\n" ); document.write( "-5y= -70 \n" ); document.write( "y=14\r \n" ); document.write( "\n" ); document.write( "plug y to get x\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Deron has $5.50 in dimes and quarters. Deron has as many dimes as Carla has nickels and as many quarters as Carla has dimes. How many of each kind of coin does Carla have?\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |