To find the price per pint of the laundry detergent, we first need to convert the volume from quarts to pints.
1 quart is equal to 2 pints. Therefore, a 4-quart container contains:
\[ 4 , \text{quarts} \times 2 , \text{pints/quart} = 8 , \text{pints} \]
Next, we need to calculate the price per pint. The total cost of the container is $12.96. To find the price per pint, we divide the total cost by the number of pints:
\[ \text{Price per pint} = \frac{\text{Total cost}}{\text{Number of pints}} = \frac{12.96}{8} \]
Calculating this gives:
\[ \frac{12.96}{8} = 1.62 \]
Thus, the price per pint is:
\[ \boxed{1.62} \]
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