Sarah has two dogs, Daisy and Duke. She keeps their treats in separate jars labeled with their names. One day, Sarah fills both jars with treats and leaves them on the counter. Her sister, Emily, enters the kitchen and accidentally knocks over Daisy's jar, spilling all the treats onto the floor. Emily decides to refill Daisy's jar using half of the treats from Duke's jar. Where does Sarah think the treats are when she returns, and what does Emily know about the treat distribution?

Respond very briefly.
Sarah believes the treats are in their respective jars on the counter, as she left them. She is unaware of the accident and subsequent redistribution. Emily knows that Daisy's jar contains only the treats she refilled from Duke's jar, while Duke's jar now has half the amount it originally contained. Emily is aware that the treats on the floor are from Daisy's jar and that the current distribution is uneven between the two jars.