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?

Respuesta :

Answer:

[tex]After\ Tax = \frac{p}{1.25}[/tex]

Step-by-step explanation:

Given:

[tex]Before\ Tax =\$ p[/tex]

[tex]After\ Tax =\$ t[/tex]

[tex]p = 1.25t[/tex]

Required

Determine his after tax salary in terms of p

To do this, we simply make t the subject in [tex]p = 1.25t[/tex]

Divide both sides by 1.25

[tex]\frac{p}{1.25} = \frac{1.25t}{1.25}[/tex]

[tex]\frac{p}{1.25} = t[/tex]

[tex]t = \frac{p}{1.25}[/tex]

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

[tex]After\ Tax = \frac{p}{1.25}[/tex]