Finding equilibrium price and quantity with a per-unit tax

[garyljc]

Given p is the price for buyers
and p-t be the price that suppliers get after paying a tax per unit of t
Supply is 2(p-t) and Demand is 100-p
a.) what is the equilibrium price ?
b.) how many quantities are sold at this price?

i'm stucked with the first one , all i know is that when it is equilibrium , S = D
i did equate it but i have 2 unknowns .. should i give the P* (equilibrium price) in terms of t ?

 

[jacksonpeeble]

I do not believe that you can answer this question without more information. You can certainly simplify it, though.

S=D
2(p-t)=100-p
t=3x/2-50