Question 640179
The most quarters you can have is 2, since 
3 quarters is 75 cents
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If you have 2 quarters, then 8 pennies gives you
58 cents, but that is 10 coins
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If you have 2 quarters, 1 nickel, and 3 pennies,
that is 58 cents, but is 6 coins
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There is no way out of that, so I'll say
1 quarter, 3 dimes, and 3 pennies
That is 58 cents and 7 coins
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I'll try
1 quarter, 2 dimes, 2 nickels, and 3 pennies
That is 58 cents and 8 coins
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Next, 
1 quarter 1 dime, 4 nickels, and 3 pennies
58 cents and 9 coins. Success