If a + bc = 6/5 and b + ca = 9/2, then what is the value of a + cb?

Answer: Option D

$$\begin{array}{rl}& \frac{\left(a+b\right)}{c}=\frac{6}{5}\\ & \frac{\left(b+c\right)}{a}=\frac{9}{2}\\ & \frac{\left(a+c\right)}{b}=?\\ & c=5,\frac{\left(b+c\right)}{a}=\frac{9}{2}\\ & \Rightarrow \frac{b+5}{2}=\frac{9}{2}\\ & b=4,a=2\\ & \Rightarrow \frac{\left(a+c\right)}{b}=\frac{2+5}{4}\\ & \Rightarrow \frac{\left(a+c\right)}{b}=\frac{7}{4}\end{array}$$