At a bookshop, 6 identical folders, 4 identicwl rulers and 5 identical pencils cost $24.55. Jay bought 3 such folders, 4 such rulers and 5 such pencils for $15.25. How much did Jay pay for one such folder?
Let one folder cost x dollars.
Thus, Jay paid 3x dollars for three folders.
Thus, Jay paid 4*$1=<<3*1=3>>3.
He also paid 5*$1=<<5*1=5>>5 for pencils.
Hence she paid 3x+3+5 =15.25 dollars for folders, pencils, and rulers.
We are told that 3 folders, 4 rulers, and 5 pencils have a combined cost of $15.25 hence 3x+3+5= $15.25
Combined, Jay received 3*6+4*4+5*5=$144.25.
Rearranging the initial equation, we get 3x+8=15.25.
Therefore, 3*6=<<3*6=18>>18x + 48 =$145.
Simplifying the equation further, we have 18x =144.25.
Thus, x =<<8.0139=8.01>>8.01 dollars. Answer: \boxed{8.01}.