Question 57·Hard·Probability and Conditional Probability

The table shows the distribution of 160 interns and their departments at a company. Each intern is categorized in exactly one department.

If one of the 160 interns is selected at random, the probability of selecting an intern who is categorized as Engineering, given that the intern is not categorized as Biology and not categorized as Physics, is $\frac{7}{24}$. How many of these interns are categorized as Computer Science?