Yes, there's some reading comprehension issues here, but there's also bad writing.
The original question is about size, but the Philosopher, for some reason, makes a detour into mass. This detour goes nowhere, and just ends up as a distraction to the point he's trying to make. He could have just said, "Suppose you were to have $30 in coins instead, which would have more value, the coins or the bills?" No introduction of "mass" for no reason, just a straightforward analogy that different things can have the same value. Or, he could have kept the idea of size: "Suppose you needed to carry $30 in coins instead, would you need a bigger wallet? ... Ah, but which wallet's contents would have the greater value?"
It's also distracting that he says "you were to have $30 in coins as well". That makes it seem like it's important that Anon now has $60 instead of $30. If the idea was to compare $30 in coins to $30 in bills, a better wording would be "instead". Then you're comparing two situations in which Anon has $30, instead of a situation where he now has $60 instead of his original $30 but half of it is now in coins.
The way it's written is like a trick question where the obvious answer is wrong. The obvious answer is right, it just feels like it's wrong because it's badly written.