Question

complete each statement.

If$\frac{a}{b}=\frac{5-x}{x}$then$\frac{a+b}{b}=?$

Short answer

The final answer is,$\frac{a}{b}=\frac{5-x}{x}\Rightarrow \frac{a+b}{b}=\frac{5}{x}$

Step-by-step solution

Step 1. Given information.

The given proportion is,

$\frac{a}{b}=\frac{5-x}{x}$

It is given that,$\frac{a}{b}=\frac{5-x}{x}$

Step 2. Add 1 both sides.

$\frac{a}{b}+1=\frac{5-x}{x}+1$

Step 3. The given proportion will be equivalent to.

$\frac{a+b}{b}=\frac{5-x+x}{x}=\frac{5}{x}$

So,

$\frac{a}{b}=\frac{5-x}{x}\Rightarrow \frac{a+b}{b}=\frac{5}{x}$

Therefore, the final answer is$\frac{a}{b}=\frac{5-x}{x}\Rightarrow \frac{a+b}{b}=\frac{5}{x}$,