A hostel serves a special feast on every Friday that falls on a 5th occurrence in its month (a "fifth Friday"). Using the January page shown, in how many months of that year does this happen?

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4. A month has a fifth Friday when Friday is among its first (length − 28) days. 2030 (ordinary) month starts: Jan Tue, Feb Fri, Mar Fri, Apr Mon, May Wed, Jun Sat, Jul Mon, Aug Thu, Sep Sun, Oct Tue, Nov Fri, Dec Sun. Five Fridays: March (Fri start, 31 days), May (Wed, 31), August (Thu, 31), November (Fri, 30). February has only 28 days. So 4.

A hostel serves a special feast on every Friday that falls on a 5th occurrence in its month (a "fifth Friday"). Using the January page shown, in how many months of that year does this happen?

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