Patrick has some rocks. He decides to give them to a group of children. There are fewer than 10 children in the group. If he gives 3 rocks to each child, he will have 14 left. If he gives 4 rocks to each child, he will have 7 left. If he gives 5 rocks to each child, he will have none left. a. how many rocks does he have? b. how many children does he have?