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

`After\ Tax = (p)/(1.25)`

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

`(p)/(1.25) = (1.25t)/(1.25)`

`(p)/(1.25) = t`

`t = (p)/(1.25)`

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

`After\ Tax = (p)/(1.25)`