Question

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

$\frac{x+1}{2x+3}=\frac{3}{8}\Rightarrow 8(x+1)=3(2x+3)\text{(By cross multiplication)}8x+8=6x+9\Rightarrow 8x-6x=9-8\Rightarrow 2x=1\Rightarrow x=\frac{1}{2}\therefore x=\frac{1}{2}$