To find the unit rate, we need to divide the total number of cupcakes by the total number of boxes. This will give us the number of cupcakes per box.
To find the unit rate of cupcakes per box, we use the formula:
\[ \text{Unit Rate} = \frac{\text{Total Cupcakes}}{\text{Total Boxes}} = \frac{65}{13} \]
Now, we perform the division:
\[ \frac{65}{13} = 5.0 \]
The unit rate is \\(\boxed{5}\\) cupcakes per box.
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