While I can solve the majority of word problems I'm having trouble with this one:

A textile mill produces fabric made from different fibers. From cotton, polyester, and nylon, the owners want to produce a fabric blend that will cost $3.25 per pound to make. The cost per pound of these fibers is $4.00, $3.00, $2.00, respectively. The amount of nylon is to be the same as the amount of polyester. How much of each fiber will be in the final fabric?

I tried the following system - I suppose I was off to a bad start because I couldn't find an answer:

Cotton = c

Polyester = p

Nylon = n

c+p+n=1 (1 fabric to be made from addition of the 3 fibers)

4c+3p+2n=3.25 (price)

3p+2n=0 (amount of nylon same as that of polyester)

Please help! Are any of the above equations correct? If not, how do we arrive at the correct system to solve?