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Normal calculations in reverse

AP.STATS: VAR‑2 (EU), VAR‑2.B (LO), VAR‑2.B.4 (EK)
You might need: Calculator,Z table

Problem

The distribution of durations for which apartments remain empty after the resident moves out for one property management company over the past 10 years was approximately normal with mean mu, equals, 85 days and standard deviation sigma, equals, 29 days.
The property management company tags the files of the apartments that were empty for the shortest 5, percent of durations to have priority cleaning the next time their residents move out.
What is the maximum duration for which an apartment remained empty for the company to tag its file? Round to the nearest whole number.
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