document.write( "Question 832971: Mary had 20 coins. When she counted them she found she had the same value as if she had all nickels,but she only had 1 nickel. What coins did she have?\r
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\n" ); document.write( "\n" ); document.write( "I have tried this problem many times and all the information I have gotten from this problem is that the total amount equals a dollar. The closest I have gotten to the dollar point with 20 coins is 1 dollar and 2 cents. \n" ); document.write( "
Algebra.Com's Answer #502277 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "20 coins, all nickels, is a dollar.\r\n" );
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document.write( "Since there is exactly 1 nickel, she has to have \r\n" );
document.write( "the remaining 95 cents with 19 coins.\r\n" );
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document.write( "Obviously the number of pennies has to be 0, 5, 10, or 15\r\n" );
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document.write( "She can't have 0 pennies because even 19 dimes \r\n" );
document.write( "is way more than 95 cents, let alone having any\r\n" );
document.write( "higher coins.\r\n" );
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document.write( "If she had only 5 pennies, then those and the nickel \r\n" );
document.write( "make 10 cents with 6 coins, and the remaining 90 cents \r\n" );
document.write( "must be made with 14 coins. But even 14 dimes is way\r\n" );
document.write( "more than 90 cents, let alone having any higher \r\n" );
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document.write( "If she had only 10 pennies, then those and the nickel \r\n" );
document.write( "make 15 cents with 11 coins, and the remaining 85 cents \r\n" );
document.write( "must be made with 9 coins. But even 9 dimes is more \r\n" );
document.write( "than 85 cents, let alone any higher coins.\r\n" );
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document.write( "So she must have exactly 15 pennies, then those and the \r\n" );
document.write( "nickel make 20 cents with 16 coins, and the remaining 80 \r\n" );
document.write( "cents must be made with 4 coins.  \r\n" );
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document.write( "If she had exactly 1 quarter, she'd have to have 55\r\n" );
document.write( "cents with 3 coins.  There is no way she could have that \r\n" );
document.write( "without having another nickel.\r\n" );
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document.write( "If she had exactly 2 quarters, she'd have to make 30\r\n" );
document.write( "cents with 2 coins.  There is no way she could have that \r\n" );
document.write( "without having another nickel. \r\n" );
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document.write( "If she had exactly 3 quarters, she'd have to have 5\r\n" );
document.write( "cents with 1 coin.  But she can't have another nickel.\r\n" );
document.write( "So she can't have any quarters.\r\n" );
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document.write( "So the only way she can have that is with 1 half dollar\r\n" );
document.write( "and 3 dimes.  So that's the answer:\r\n" );
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document.write( "She has 1 half dollar, 3 dimes, 1 nickel and 15 pennies.\r\n" );
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document.write( "[Half dollars aren't in circulation anymore, but Mary \r\n" );
document.write( "in the problem has one!  I have a few myself.  I'll \r\n" );
document.write( "bet you've got one stashed in a drawer someplace in \r\n" );
document.write( "your house!  :)  ] \r\n" );
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document.write( "Edwin
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