The length of vacation or time when each resort cost about the same is 32 days.
From the information given, it was stated that Blue Water Resorts offers a vacation package starting at $1350 for a 4 night stay and each additional night adds $149 to the package price. Sea Breeze Resort offers a similar package, starting at $900 for a 4 night stay.
The equation to compute the time will be:
1350 + 149x = 900 + 135x
Compute like terms
149x - 135x = 1350 - 900
14x = 450
x = 450/14
x = 32
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