Let's assume that Sam bought x packages.
Each package has 9 beads, so the number of beads in the packages is 9x.
Sam's mom bought him 63 more beads, so now he has 9x + 63 beads.
We know that Sam now has 153 beads, so we can set up the equation:
9x + 63 = 153
Subtracting 63 from both sides of the equation, we get:
9x = 90
Dividing both sides of the equation by 9, we get:
x = 10
Therefore, Sam bought 10 packages of beads.