To find the price per cup for the laundry detergent, we first need to determine how many cups are in a 6-pint container.
There are 2 cups in 1 pint, so:
\[ 6 \text{ pints} \times 2 \text{ cups per pint} = 12 \text{ cups} \]
Next, we divide the total cost of the container by the number of cups to find the price per cup:
\[ \text{Cost per cup} = \frac{\text{Total cost}}{\text{Number of cups}} = \frac{6.96}{12} \]
Calculating that gives:
\[ \text{Cost per cup} = 0.58 \]
Thus, the price per cup of laundry detergent is $0.58.
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