Question

Find the value of X.

$\frac{8}{x}=\frac{2}{5}$

Short answer

The value of x is 20.

Step-by-step solution

Step 1. Given information.

The ratio here given is,

$\frac{8}{x}=\frac{2}{5}$

Step 2. Concept and Formula Used.

The properties of proportion,

if$\frac{a}{b}=\frac{c}{d}$ then,$ad=bc$

The given ratio is$\frac{8}{x}=\frac{2}{5}$,

Step 3. Use the property of proportion, if ab=cd then,ad=bc .

Then,

$40=2x$

Step 4. Divide both sides by 2.

$\begin{array}{l}\frac{2x}{2}=\frac{40}{2}\\ x=20\end{array}$

Therefore, the value of X is20 .