Pass : Fail = 7 : 3, so Pass = \\(7k\\), Fail = \\(3k\\), Total = \\(10k\\).

\\(\begin{aligned}
\frac{7k + 24}{10k} &= 0.85
\\
7k + 24 &= 8.5k
\\
24 &= 1.5k
\\
k &= 16
\\
\text{Total} &= 10 \times 16 = 160
\end{aligned}\\)

Final Answer: 160