You Can't Ration Love [1944] [DVD]

From imdb: Because of the war, there aren't enough men at Adams College for all the girls, but Betty (Betty Jane Rhodes as Betty Rhodes) has no difficulties as she has a monopoly on stud-athlete Pete (Bill Edwards). The other girls, particularly Marian (Marjorie Weaver), think this is unfair, so Marian institutes a system of rationing dates. Pete is rated as thirty points and Betty is furious as the other girls bypass the 4-F's and slide-rule geeks to save their ration points to date Pete. Betty drafts him for the Varsity Show, but when the pressure of preparing for the show hurts his studies, Marian volunteers to tutor him and has him all to herself. Scholarly John "Two-Point" Simpson (Johnny Johnston as Johnnie Johnston) auditions and, since he isn't hep to the jive, is laughed off the stage. Betty helps him and soon "Two-Point" is in the groove and makes a hit, and Betty discovers she is in love with him. The faculty cancels the date-rationing plan and Johnnie, whose point value has gone up, ...