A researcher performs an experiment to test a hypothesis that involves the nutrients niacin and retinol. She feeds one group of laboratory rats a daily diet of precisely 36.12 units of niacin and 30,080 units of retinol. She uses two types of commercial pellet foods. Food A contains 0.19 unit of niacin and 175 units of retinol per gram. Food B contains 0.22 unit of niacin and 80 units of retinol per gram. How many grams of each food does she feed this group of rats each day?

food A ________g
food B ________g

1 answer

.19a + .22b = 36.12
175a + 80b = 30080

a = 160
b = 26