document.write( "Question 261355: You need to purchase 100 stamps and only spend $100. Using only .25, $1, $15 stamps, and you need to buy at least one of each type of stamp, how many of each stamp do you buy?\r
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Algebra.Com's Answer #192561 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
You need to purchase 100 stamps and only spend $100. Using only .25, $1, $15 stamps, and you need to buy at least one of each type of stamp, how many of each stamp do you buy?
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document.write( "\"system%28x%2By%2Bz=100%2C%0D%0A.25x%2By%2B15z=100%2C%0D%0Ax%3E=1%2C+y%3E=1%2Cz%3E=1%29\"\r\n" );
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document.write( "Solve the two equations for x and y in terms of z:\r\n" );
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document.write( "\"system%28x=%2856%2F3%29z%2Cy=100-%2859%2F3%29z%2C+x%3E=1%2C+y%3E=1%2Cz%3E=1%29\"\r\n" );
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document.write( "So z must be a multiple of 3 in order for x and y to be integers. \r\n" );
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document.write( "Since \"y%3E=1\",\r\n" );
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document.write( "\"100-%2859%2F3%29z%3E=1\"\r\n" );
document.write( "\"300-59z%3E=3\"\r\n" );
document.write( "\"-59z%3E=-297\"\r\n" );
document.write( "\"z%3C=297%2F59\"\r\n" );
document.write( "\"z%3C=5%262%2F59\"\r\n" );
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document.write( "\"1+%3C=+z+%3C=+5\"\r\n" );
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document.write( "And the only multiple of 3 between 1 and 5 is 3.\r\n" );
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document.write( "So z must be 3\r\n" );
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document.write( "So \"x=%2856%2F3%29z=%2856%2F3%29%2A3=56\"\r\n" );
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document.write( "and \"y=100-%2859%2F3%29z+=+100-%2859%2F3%29%283%29=100-59=41\"\r\n" );
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document.write( "So the only solution is 56 $.25 stamps, 41 $1 stamps and 3 $15 stamps.\r\n" );
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document.write( "Edwin
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