A box of candy contains two types of chocolates. One type is made with nuts, and the other type is nut free. The box contains 6 times more candies with nuts than candies without nuts. Johnny pulls a candy out of the box at random. What is the probability that Johnny pulled out a candy without nuts?

Your vet has placed your pet on a diet. the diet is to contain at least 12 mg of fat and at least 14 mg of protein per serving. these requirements are to be obtained from two food sources. source a contains 2 mg of fat and 2 mg of protein per serving. source b contains 1 mg of fat and 3 mg of protein per serving. if source a sells for $1.28 per serving and source b sells for $1.12 per serving, how many servings of each type should be purchased to satisfy the requirements at minimal cost?