At our barn we jump the show horses only a max of 3 times a week. Sometimes the younger ones get a few more days than that but they don't usually jump full courses. Maybe 3-4 jumps each ride. Also, no students are allowed to jump their horse outside of lessons. This helps to keep control of how often the horses are jumps as kids sometimes get carried away and forget about it.
The essential joy of being with horses is that it brings us in contact with the rare elements of grace, beauty, spirit, and fire. ~Sharon Ralls Lemon