There is no straightforward answer, you can make it with 50 or 45 coins quite easily if you use 50 one-cent coins or 49 one-cent coins and a 5-cent coin.
You could bend the meaning of the question using non-US currencies, or by trading, etc.
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No. Two quarters is overshooting it, and the next highest coin value is a dime. 25+10 isn't enough, so adding another dime will get you to 45 cents, but by then you have already used 3 coins.
$2.30
The discount price is $28.14
0.05 x 24 = 0.10 x 12 = 1.20 one dollar twenty cents
92 quarters is equal to 23 dollars. 46 dimes is equal to 4 dollars and sixty cents. 23 nickels is equal to one dollar and fifteen cents. Together, the amount is equal to $28.75