Mixture Trick, Algebra

I have a question regarding the Mixture Trick. example one says a/b is 10/15 because 60 is closer to 50. example 2 says x/y is 11/3; however, 23 is closer to three, so i don’t understand the logic. Shouldn’t it be 3/11

In this case, you correctly stated that a/b = 10/15 because 60 is closer to 50, so we would need more B than A.

Similarly, x (which is 20) is closer to 23 than y (which is 34) is, so we need more of x than y. Thus, the proportion is x/y = 11/3, which implies x is larger.