Answer: Yana has 8 bathing suits.
Step-by-step explanation: Given that the ratio of Dina’s bathing suits to Yana’s bathing suits was 4 : 1 and Dina has 24 more bathing suits than Yana.
We are to find the number of bathing suits that Yana has.
Let 4x and x represents the number of bathing suits that Dina and Yana have respectively.
Then, according to the given information, we have
[tex]4x-x=24\\\\\Rightarrow 3x=24\\\\\Rightarrow x=\dfrac{24}{3}\\\\\Rightarrow x=8.[/tex]
Therefore, the number of bathing suits that Yana has is given by
[tex]x=8.[/tex]
Thus, Yana has 8 bathing suits.