Question

Preston's salary before taxes are taken out is p dollars. After taxes taken out, Preston's take home salary is t dollars. If p =1.25t, what is Preston's take home salary in terms of his salary before taxes?

Answer 1

Answer:

$After\ Tax = \frac{p}{1.25}$

Step-by-step explanation:

Given:

$Before\ Tax =\ p$

$After\ Tax =\ t$

$p = 1.25t$

Required

Determine his after tax salary in terms of p

To do this, we simply make t the subject in $p = 1.25t$

Divide both sides by 1.25

$\frac{p}{1.25} = \frac{1.25t}{1.25}$

$\frac{p}{1.25} = t$

$t = \frac{p}{1.25}$

Substitute p/1.25 for t in $After\ Tax =\ t$

$After\ Tax = \frac{p}{1.25}$