<PRE><B>Question 492814</B>
Start with 20 quarters, and only use pennies
until you can reach at least 100 coins
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20 quarters + 0 pennies = 20 coins
19 quarters + 25 pennies = 45 coins
18 quarters + 50 pennies = 68 coins
17 quarters + 75 pennies = 92 coins
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So there must be at THE MOST 16 quarters
16 quarters + 100 pennies = 116 coins
16 quarters + 1 dime + 90 pennies = 107 coins
16 quarters + 2 dimes + 80 pennies = 98 coins
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15 quarters + 5 dimes + 75 pennies = 95 coins
15 quarters + 4 dimes + 85 pennies = 104 coins
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10 quarters + 15 dimes +  100 pennies = 125 coins
10 quarters + 20 dimes + 50 pennies = 80 coins
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I think this is as close as you will get. The problem is that
both the sum of money you need and the number of
coins both are multiples of {{{5}}}, and that means each of
the number of quarters, dimes and pennies all have to 
be divisible by {{{5}}}, and all together, by {{{10}}}.
So, {{{ 15 }}} or {{{ 10 }}} quarters is allowed, but neither
will give you {{{ 100 }}} coins</PRE>