let the scarves be x and the hats be y
4x + 6y = 52...equ(1)
1 + x = y
y - x = 1...equ(2)
multiplying equation 2 by 4
4y - 4x = 4
adding equation 1 and 2
10y = 56
∴y = 5.6 dollars
substituting the value of y into equation 2
5.6 - x = 1
∴x = 4.6 dollars
