A researcher experiments to test a hypothesis involving niacin and retinol. She feeds one group of laboratory rats a daily diet of precisely 37.8 units of niacin and 22,700 units of retinol. She uses two types of commercial pellet foods. Food A contains 0.14 unit of niacin and 110 units of retinol per gram. Food B contains 0.35 units of niacin and 100 units of retinol per gram. How many grams of each food does she feed this group of rats each day?