document.write( "Question 705999: Good evening,
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document.write( "I'm having some trouble assisting my son (8th grade) with his math homework.\r
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document.write( "The problem states:\r
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document.write( "Write and solve a system of equations that represents each situation. Interpret the solution.\r
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document.write( "Neil has a total of twelve $5 and $10 bills in his wallet.He has 5 times as many $10 bills as $5 dollar bills. How many of each does he have?
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document.write( "Any help is greatly appreciated!!! Thanks in advance!!! Susan
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Algebra.Com's Answer #434914 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Neil has a total of twelve $5 and $10 bills in his wallet.He has 5 times as many $10 bills as $5 dollar bills. How many of each does he have? \n" ); document.write( ". \n" ); document.write( "Let x = number of $5 bills \n" ); document.write( "then from \"Neil has a total of twelve\" we have \n" ); document.write( "12-x = number of $10 bills \n" ); document.write( ". \n" ); document.write( "From: \"He has 5 times as many $10 bills as $5 dollar bills.\" we get our equation: \n" ); document.write( "x = (1/5)(12-x) \n" ); document.write( "multiplying both sides by 5: \n" ); document.write( "5x = 12-x \n" ); document.write( "6x = 12 \n" ); document.write( "x = 2 (number of $5 bills) \n" ); document.write( ". \n" ); document.write( "Number of $10 bills: \n" ); document.write( "12-x = 12-2 = 10 \n" ); document.write( " \n" ); document.write( " |