The cost of 6 hats and 1 scarf is $47. The cost of 3 hats and 2 scarves
is $40. Use h for hats and s for scarves.

The cost of scarf is $11 and the cost of hat is $6.

Step-by-step explanation:

Let us assume :

Given that,

The cost of 6 hats and 1 scarf is $47

⇒ 6h + s = 47  (1)

The cost of 3 hats and 2 scarves  is $40

⇒ 3h + 2s = 40  (2)

Solving the equations to find x and y values :

Multiply eq(2) by 2 and subtract eq(2) from eq(1),

  6h + s = 47

-(6h + 4s = 80)

       -3s  = - 33

-3s = - 33

s =33/3

s = 11

The cost of scarf is $11.

Substitute s=11 in eq(1),

6h + 11 = 47

6h = 47 - 11

6h = 36

h = 36/6

h = 6

The cost of hat is $6.