document.write( "Question 940200: If someone could please help me with this question: Joe has three times as many dimes as Dave. Dave has six more quarters than Joe. Joe has as many quarters as Dave does dimes. If the value of Joe's dimes is the same as Dave's quarters, how many dimes does Dave have? \n" ); document.write( "
Algebra.Com's Answer #573016 by Edwin McCravy(20060)\"\" \"About 
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Joe has three times as many dimes as Dave. Dave has six more quarters than Joe. Joe has as many quarters as Dave does dimes. If the value of Joe's dimes is the same as Dave's quarters, how many dimes does Dave have?
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document.write( "Suppose Joe has x quarters\r\n" );
document.write( "Suppose Joe has y dimes worth 10y cents\r\n" );
document.write( "Suppose Dave has z quarters worth 25z cents\r\n" );
document.write( "Suppose Dave has w dimes\r\n" );
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\n" ); document.write( "Joe has three times as many dimes as Dave.
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document.write( "y = 3w\r\n" );
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\n" ); document.write( "Dave has six more quarters than Joe.
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document.write( "z = x+6\r\n" );
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\n" ); document.write( "Joe has as many quarters as Dave does dimes.
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document.write( "x = w \r\n" );
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\n" ); document.write( "the value of Joe's dimes is the same as Dave's quarters,
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document.write( "10y = 25z\r\n" );
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document.write( "We have this system:\r\n" );
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document.write( "\"system%28y+=+3w%2Cz+=+x%2B6%2Cx+=+w%2C10y+=+25z%29\"\r\n" );
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document.write( "Substitute x for w\r\n" );
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document.write( "\"system%28y+=+3x%2Cz+=+x%2B6%2C10y+=+25z%29\"\r\n" );
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document.write( "Substitute x+6 for z\r\n" );
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document.write( "\"system%28y+=+3x%2C10y+=+25%28x%2B6%29%29\"\r\n" );
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document.write( "Substitute 3x for y\r\n" );
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document.write( "\"10%283x%29=25%28x%2B6%29\"\r\n" );
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document.write( "\"30x=25x%2B150\"\r\n" );
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document.write( "\"5x=150\"\r\n" );
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document.write( "\"x=30\"\r\n" );
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document.write( "Substitute in y = 3x\r\n" );
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document.write( "\"y=3%2830%29\"\r\n" );
document.write( "\"y=90\"\r\n" );
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document.write( "Substitute in z = x+6\r\n" );
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document.write( "\"z+=+30%2B6\"\r\n" );
document.write( "\"z=36\"\r\n" );
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document.write( "and since x = w,\r\n" );
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document.write( "\"w=30\"\r\n" );
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document.write( "Joe has 30 quarters\r\n" );
document.write( "Joe has 90 dimes worth 10(90) or 900 cents, or $9\r\n" );
document.write( "Dave has 36 quarters worth 25(36) or 900 cents, or $9\r\n" );
document.write( "Dave has 30 dimes\r\n" );
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\n" ); document.write( "how many dimes does Dave have?
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document.write( "Dave has 90 dimes.\r\n" );
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document.write( "Edwin
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