Question

Tick (✓) the correct answer:
If $\frac{x+1}{2x+3}=\frac{3}{8}$, then x = ?
(a) $\frac{1}{4}$
(b) $\frac{1}{3}$
(c) $\frac{1}{6}$
(d) $\frac{1}{2}$

Answer 1

(d) $\frac{1}{2}$

$$\begin{gathered} \frac{x+1}{2x+3}=\frac{3}{8} \\ \Rightarrow 8(x+1)=3(2x+3) \\ \Rightarrow 8x+8=6x+9 \\ \Rightarrow 8x-6x=9-8 \\ \Rightarrow 2x=1 \\ \Rightarrow x=\frac{1}{2} \end{gathered}$$