document.write( "Question 352060: A vending takes only nickels and dimes. There are 5 times as many dimes as nickels in the machine. The face value of the coins is $4.40. How many of each coin are in the machine?\r
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document.write( "My father figured the answer out in his head, but he's not able to teach me how to translate the answer into an equation so I can figure future problems out by myself. Thank you very much for your help. \n" );
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Algebra.Com's Answer #251525 by mananth(16946)![]() ![]() You can put this solution on YOUR website! A vending takes only nickels and dimes. There are 5 times as many dimes as nickels in the machine. The face value of the coins is $4.40. How many of each coin are in the machine? \n" ); document.write( "... \n" ); document.write( "let the number of nickels in the machine be x \n" ); document.write( "number of dimes = 5times the nickels = 5x \n" ); document.write( ".. \n" ); document.write( "the total value = $4.40 \n" ); document.write( "In cents it will be 440 \n" ); document.write( "... \n" ); document.write( "1 nickel is 5 cents: x nickels will be 5x cents \n" ); document.write( "1 dime = 10 cents : 5x dimes = 50x cents \n" ); document.write( ".. \n" ); document.write( "The sum of these two = 50x+5x = 55x \n" ); document.write( "which is equal to 440 cents \n" ); document.write( "55x= 440 \n" ); document.write( "x=440/55 \n" ); document.write( "x= 8 the number of nickels. \n" ); document.write( "dimes is 5 times the nickels . so dimes = 5*8 = 40 dimes. \n" ); document.write( ".... \n" ); document.write( "C H E C K \n" ); document.write( "5*8 + 40*10 = 440 cents which is in the machine \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |