You cannot earn a living on minimum wage in some parts of the country. Some employers simply don't pay enough for people to live, so employees turn to the state to have their wages subsidised to cover their housing costs. Hence the tax payer covers the stingy employer, not that the employee is scrounging.
I didn't say the employee is scrounging. I'm saying many employees who work low hours only want low hours. E.g. my example above with housewives working for pin money. Or people at college/uni wanting extra money to fit around their course who are not able to accommodate an extra 5-10 hours a week.