document.write( "Question 206294: Jill has $2 in nickels and dimes. She has twice as many nickels as she has dimes. How many nickels and how many dimes does she have?\r
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document.write( "This is what I did:
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document.write( "let n represent nickels
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document.write( "let d represent dimes.\r
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document.write( "Jill has $2 in nickels and dimes:
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document.write( "5n + 10d = 200\r
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document.write( "She has twice as many nickels as she has dimes:
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document.write( "d=2n\r
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document.write( "5n + 10(2n)=200
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document.write( "5n + 20n = 200
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document.write( "25n=200
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document.write( "n=8\r
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document.write( "d=2n
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document.write( "d=2(8)
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document.write( "d=16\r
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document.write( "so if we have 8 nickels and 16 dimes, does it equal $2?\r
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document.write( "5n + 10d = 200
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document.write( "5(8) + 10(16) = 200
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document.write( "40 + 160 = 200
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document.write( "200 = 200
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document.write( "Is a true statement.\r
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document.write( "The answer in the book is 10 dimes and 20 nickels.
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document.write( "I am not sure how they get this answer, but it is also true.\r
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document.write( "5n + 10d = 200
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document.write( "5(20) + 10(10) = 200
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document.write( "100 + 100 = 200
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document.write( "200 = 200
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document.write( "True statement.
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Algebra.Com's Answer #155854 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Jill has $2 in nickels and dimes. She has twice as many nickels as she has dimes. How many nickels and how many dimes does she have? \n" ); document.write( "This is what I did: \n" ); document.write( "let n represent nickels \n" ); document.write( "let d represent dimes. \n" ); document.write( "Jill has $2 in nickels and dimes: \n" ); document.write( "5n + 10d = 200 \n" ); document.write( "She has twice as many nickels as she has dimes: \n" ); document.write( "d=2n \n" ); document.write( "----------- \n" ); document.write( "*** n = 2d, twice as many nickels. \n" ); document.write( "Sub for n into other eqn. \n" ); document.write( "5*2d + 10d = 200 \n" ); document.write( "20d = 200 \n" ); document.write( "d = 10 \n" ); document.write( "n = 20\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |