To find the price per cup, we first need to determine how many cups are in 3 gallons.
There are 16 cups in a gallon, so in 3 gallons, there are: \[ 3 , \text{gallons} \times 16 , \text{cups/gallon} = 48 , \text{cups} \]
Next, we have the total cost for the 3-gallon jug, which is $10.56. To find the price per cup, we divide the total cost by the number of cups: \[ \text{Price per cup} = \frac{\text{Total cost}}{\text{Number of cups}} = \frac{10.56}{48} \]
Calculating this gives: \[ \frac{10.56}{48} \approx 0.22 \]
So the price per cup is approximately \[ \boxed{0.22} \]
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