Answer:
[tex]T = \frac{d}{p}[/tex]
Step-by-step explanation:
Given
[tex]d = Contribution[/tex]
[tex]p = Percentage\ as\ decimal[/tex]
See attachment for complete question
Required
Express total in terms of d and p
Let the total cost be represented with T.
Since he pays d out his total earnings, T. Then the expression for p is:
[tex]p = \frac{Contribution}{Earnings}[/tex]
This gives:
[tex]p = \frac{d}{T}[/tex]
Multiply both sides by T
[tex]pT = d[/tex]
Divide both sides by p
[tex]T = \frac{d}{p}[/tex]