document.write( "Question 285147: A purse contains a collection of quarters, dimes, nickels, and pennies. The average value of the coins in the purse is 17 cents. If a penny is removed from the purse, the average value of the coins becomes 18 cents. How many nickels are in the purse?\r
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Algebra.Com's Answer #207196 by scott8148(6628)\"\" \"About 
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25q + 10d + 5n + p = 17c\r
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\n" ); document.write( "\n" ); document.write( "25q + 10d + 5n + p - 1 = 18(c - 1)\r
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\n" ); document.write( "\n" ); document.write( "17c - 1 = 18c - 18 ___ 17 = c\r
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\n" ); document.write( "\n" ); document.write( "q + d + n + p = 17\r
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\n" ); document.write( "\n" ); document.write( "25q + 10d + 5n + p = 289\r
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\n" ); document.write( "\n" ); document.write( "q ≤ 11 ___ p ≥ 4 ___ this would be 15 coins and 279 cents\r
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\n" ); document.write( "\n" ); document.write( "two nickels makes 17 coins and 289 cents\r
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\n" ); document.write( "\n" ); document.write( "this means NO dimes, which contradicts the opening sentence...
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