Minimum wage was never meant as a living wage. It was intended as a starting salary. You get hired, you earn some money, you learn valuable skills, and gain work experience.
Then: You get promoted or you get a better job. Either way, you get more money and a new spot is opened up for a minimum wage employee.
Somewhere along the line we got it in our heads people should shovel fries for life and be able to live comfortably doing it.