Solve 294 ÷ 14 × 5 + 11/? = 82 ÷ 5 + 1.7

Answer: Option A

Let the missing number be x
$$\begin{array}{rl}& \frac{294÷14\times 5+11}{x}=8^2÷5+1.7\\ & \Rightarrow \frac{\frac{294}{14}\times 5+11}{x}=\frac{64}{5}+1.7\\ & \Rightarrow \frac{21\times 5+11}{x}=12.8+1.7\\ & \Rightarrow \frac{105+11}{x}=12.8+1.7\\ & \Rightarrow \frac{116}{x}=14.5\\ & \Rightarrow x=\frac{116}{14.5}\\ & \Rightarrow x=\frac{116\times 10}{145}\\ & \Rightarrow x=8\end{array}$$
Hence, the number is 8