Question

Sort in ascending order based on the value of x. (Smallest value of x on the top.)

• A. 3 : 3 = x : 1
• B. 1 : 2 = 1 : x
• C. x : 6 = 1 : 2
• D. x : 16 = 1 : 4

Answer 1

$1:2=1:x$
$\Rightarrow \frac{1}{2}=\frac{1}{x}$
$\Rightarrow x=\frac{1\times 2}{1}$
$\Rightarrow x=2$

$3:3=x:1$
$\Rightarrow \frac{3}{3}=\frac{x}{1}$
$\Rightarrow 3x=3$
$\Rightarrow x=\frac{3}{3}=1$

$x:6=1:2$
$\Rightarrow \frac{x}{6}=\frac{1}{2}$
$\Rightarrow 2x=6$
$\Rightarrow x=\frac{6}{2}=3$

$x:16=1:4$
$\Rightarrow \frac{x}{16}=\frac{1}{4}$
$\Rightarrow 4x=16$
$\Rightarrow x=\frac{16}{4}=4$