Exercise 1

A school has $147$ third graders. The third grade teachers have planned a special treat for the last day of school and brought ice cream for their students. There are three flavors: mint chip, chocolate, and strawberry. Suppose that $60$ students like (at least) mint chip, $103$ like chocolate, $50$ like strawberry, $30$ like mint chip and strawberry, $40$ like mint chip and chocolate, $25$ like chocolate and strawberry, and $18$ like all three flavors. How many students don't like any of the flavors available?