Timed Quant Practice - First Medium Section #1

GRE Quant Problem Solving
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Hi,

I’m having trouble understanding why the answer to the problem is 19/48. When I solved it, I arrived at 19/24​, just like in the explanation. However, I don’t understand why we need to divide by 2 when considering “both” cakes. Isn’t 5/12 + 3/8​ already accounting for both cakes? I thought 19/24​ represented the total amount eaten from both cakes, so why do we need to divide by 2?
I hope this clarifies what I’m trying to say. Even GPT isn’t explaining why the correct answer is 19/48​ or how to properly arrive at it.

Thanks!

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Can you eat 3/2 of both cakes?

3

I don’t think I am still able to understand.

4

We’ve updated the question slightly - try again now?

5

I think I do now. Just needed to think of this question by breaking it down with an example.