In a group of 5 families, every family has a certain number of children, such…

In a group of 5 families, every family has a certain number of children, such that the number of children forms an arithmetic progression with a common difference of one, starting with two children in the first family. Despite the objection of their parents, every child in a family has three times as many pets to look after as the number of offspring in the family. What is the total number of pets in the entire group of five families?