document.write( "Question 152618: how many different ways can $0.50 be made with fewer then 8 coins? \n" ); document.write( "
Algebra.Com's Answer #112189 by Edwin McCravy(20054)\"\" \"About 
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document.write( "We can't use pennies at all, because if we used 5 pennies,\r\n" );
document.write( "we would have to make the remaining 45 cents with only\r\n" );
document.write( "1 or 2 coins, which is impossible.\r\n" );
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document.write( "So we can use either 0, 1 or 2 quarters.\r\n" );
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document.write( "1. Suppose we don't use any quarters.\r\n" );
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document.write( "Then we have to use at least 3 dimes because if we used \r\n" );
document.write( "only 2 dimes, we'd have to make the remaining 30 cents \r\n" );
document.write( "with 6 nickels, giving us 8 coins, which is not allowed. \r\n" );
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document.write( "So we can use 3, 4, or 5 dimes, with the rest, if any, in nickels.  \r\n" );
document.write( "That's 3 ways.\r\n" );
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document.write( "2. Suppose we use 1 quarter.\r\n" );
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document.write( "Then we don't necessarily have to use any dimes, because \r\n" );
document.write( "we can make the remaining 25 cents with 5 nickels, giving \r\n" );
document.write( "us only 6 coins. So we can use 0, 1, or 2 dimes with the \r\n" );
document.write( "rest in nickels.\r\n" );
document.write( "That's 3 ways.\r\n" );
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document.write( "3. If we use 2 quarters, that's the whole 50 cents.\r\n" );
document.write( "That's 1 way.\r\n" );
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document.write( "So that's a total of 3+3+1, or 7 ways.\r\n" );
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document.write( "Half dollars are not in circulation anymore. But if\r\n" );
document.write( "we count having 1 half dollar, then the answer is 8.\r\n" );
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document.write( "Here are all the ways, not counting the case of 1 half dollar.\r\n" );
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document.write( "1.  0 quarters, 3 dimes, and 4 nickels.\r\n" );
document.write( "2.  0 quarters, 4 dimes, and 2 nickels.\r\n" );
document.write( "3.  0 quarters, 5 dimes, and 0 nickels.\r\n" );
document.write( "4.  1 quarter,  0 dimes, and 5 nickels.\r\n" );
document.write( "5.  1 quarter,  1 dime,  and 3 nickels.\r\n" );
document.write( "6.  1 quarter,  2 dimes, and 1 nickel.\r\n" );
document.write( "7.  2 quarters, 0 dimes, and 0 nickels.\r\n" );
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document.write( "Edwin
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