Goldilocks illegally entered the house of three bears, where she found three bowls of por-ridge: a 2.0-quart bowl at 150°F (too hot), a 1.0-quart bowl at 90°F (too cold), and a 0.5-quart bowl at 110°F (just right). She ate the porridge in the 0.5 quart bowl, but she was still hungry. What volumes of 150°F and 90°F porridge must she blend in order to obtain a second 0.5-quart bowl of 110°F porridge?