Final answer:
To determine the total cost for one night at Resort A and Resort B, the per-night charge is added to the one-time surcharge for each. Resort A would be $155.50, and Resort B $115.50, totaling $271.00 for one night at both. However, this does not match any of the given options, indicating there might be an error in the question.
Step-by-step explanation:
To determine the total cost for staying one night at Resort A and Resort B, we need to add the per-night charge and the one-time surcharge for each.
For Resort A:
$55.50 (per night) + $100 (surcharge) = $155.50 total for one night.
For Resort B:
$65.50 (per night) + $50 (surcharge) = $115.50 total for one night.
The total cost for staying one night at both resorts together is the sum of the total costs for each resort:
$155.50 (Resort A) + $115.50 (Resort B) = $271.00.
However, this resulting sum is not listed as an option, so we need to clarify or correct the one-time surcharge for Resort A as it's possibly a typo that changed the context and possibly the correct answer.