The cost of four scarves and six hats is 52.00 the cost is 1.00 more than the cost of one scarf. What is the cost of one scarf

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