Answer:
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
