Odd Language #70: Each and All

I was writing a logic puzzle and in my draft had the sentence: “Each of the courses has its midterm in the same week.”

The issue: Awkward! I first am stating about each course, but then I need to state about all of the courses. English seems to be a bit weak/awkward in this area of combining “each” and “all”. I ended up eliminating the “each” and writing “Unfortunately, all five courses’ midterms are in the same week (Monday to Friday).”