X Nate brought $37.75 to the art supply store he bought a brush a SketchBook and a paint set the brush was 1/4 as much as a SketchBook and the Sketchbook cost 2/3 the cost of the paint set Nate had $2 left over after buying these items.

cost of paint set  =$19.5

cost of Sketchbook = $13

cost of brush =  $3..25

Step-by-step explanation:

Total money with Nate = $37.75

Let the cost of paint set be $x

As the  Sketchbook cost 2/3 the cost of the paint set

Thus cost of Sketchbook = $(2/3)x

Cost of brush is 1/4 of Sketchbook

Thus cost of brush = (1/4)*(2/3)x =$ 1/6x

Total cost of all the three item in terms of x  is

x + (2/3)x + ( 1/6)x

=>(6x+4x+x)/6 = 11x/6

Given that after money spent on buying all the three thing Nate has left $2

subtracting money spent on buying three things from total money is equal to $2

Mathematically it can be written as

$37.75 -  11x/6 = $2

=> $37.75  - $2  11x/6

=>$35.75 =  11x/6

=> $35.75*6 = 11 x

=> $214.5 = 11x

=> $214.5/11 = x  

=> x = 19.5

Thus,

cost of paint set  = x = $19.5

cost of Sketchbook = $(2/3)x =$(2/3)*19.5 = $13

cost of brush = $ 1/6x = $ (1/6)*19.5 = $3.25