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Your resistances to it may vary, but I allotted exactly this much magical energy to the spell when I cast it. One roll to rule them all...

That is my interpretation as well, one spell penetration roll per spell.

Thank you to everyone who provided their input. I appreciate all the different ways of looking at this problem and the suggested solutions.

How does Spell Penetration work with area effect spells?

If my PC Wizard level 10 casts Fireball on a Coven of Hags who all have SR how is this handled?

#1. Does the PC Wizard roll a single spell penetration check (1d20 + CL) and then the GM compares it vs. the spell resistance of each target with the spells area of effect?

#2. Does the player make several spell penetration checks? A different spell penetration check for each foe with Spell Resistance within the area of effect?

As the GM I ruled the first option but the PC is adamant that I am wrong.
I've searched the Paizo forums, the internet and Reddit to gain some insight.
Appreciate your input and clarification. Thank you and happy holidays.