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?m
Let's assume the cost of one folder is x dollars.
The cost of 6 identical folders is 6x dollars.
The cost of 4 identical rulers is 4 (24.55 - 6x) dollars.
The cost of 5 identical pencils is 5 (24.55 - 6x) dollars.
The total cost of these items is 6x + 4 (24.55 - 6x) + 5 (24.55 - 6x).
The total cost of these items is 6x + 98.2 - 24x + 122.75 - 30x.
The total cost of these items is 208.95 - 48x.
Jay paid 3x dollars for three identical folders, 4 (24.55 - 6x) dollars for four identical rulers, and 5 (24.55 - 6x) dollars for five identical pencils.
So, 3x + 4 (24.55 - 6x) + 5 (24.55 - 6x) = 15.25.
3x + 98.2 - 24x + 122.75 - 30x = 15.25.
(3 - 24 + 122.75 - 30) x + (98.2 + 15.25) = 15.25.
-31.25x + 113.45 = 15.25.
-31.25x = -98.2.
x = -98.2 / -31.25.
x = 3.14.
Jay paid 3 x 3.14 = $<<3*3.14=9.42>>9.42 for one such folder. Answer: \boxed{9.42}.