The answer is "After Fred said good-bye, he went by the market to buy spaghetti sauce."
The fruit cellar one is wrong, due to the fact it should be, "The fruit seller at the farmer's market said I could store apples for months in the cellar." A cellar is like a basement, while a seller is someone who sells things. You cannot be a cellar, and you cannot store something inside a seller.
The skiing one is wrong, since it should be "When I am chilly after a day of skiing, nothing tastes better than a big bowl of chili." Chili is a type of food, chilly means cold. You cannot be chili, and you cannot eat chilly.