Hello, this is a practice problem for a class I'm struggling with. The professor isn't much help, I'd really appreciate if someone here can answer this and break it down so I can follow the logic and see where I'm going wrong with these problems.

Suppose that you made three purchases using your credit card during the month of January. . The first purchase was on January 8th for $466. . The second purchase was on January 19th for $253. . The third purchase was on January 24th. If your average daily balance for January was $667, what was the dollar amount of your last purchase? Remember: . There are 31 days in January. . You made no purchases between January 1st and January 7th. . This question is not asking for the card's final January balance. Round your answer to the nearest dollar