Let $x$ be the number of students in the math club who are not in the science club.
Let $y$ be the number of students in the science club who are not in the math club.
We know that there are $3$ students in the math club and $2\cdot 3 = 6$ students in the science club.
Therefore, the total number of students who are in either the math club or the science club is $3 + 6 = 9$.
Since there are $3$ students who are members of both clubs, we have accounted for them twice in the total above. Therefore, we need to subtract $3$ from $9$ to get the total number of students in either club but not both.
This gives us the total of $9 - 3 = \boxed{6}$ students who are in the math club or the science club but not both.
Annville Junior High School has a math club and a science club. There are $3$ students in the math club and $3$ students who are members of both clubs. There are twice as many students in the science club as in the math club. Find the total number of students who are in the math club or the science club but not both.
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