Number of sodas sold = 80
Number of hot dogs sold = 23
Explanation:Let th number of sodas be xs
Let the number of hot dogs be h
The vendor sold a combined total of 103 sodas and hot dogs
s + h = 103............(1)
The nmber of soda sold was 57 more tha n the number of hot dogs sold
s = h + 57........()
Subtitute equation (2) into equation (1)
h + 57 + h = 103
2h = 103 - 57
2h = 46
h = 46/2
h = 23
Substitute h = 23 into equation (2)
s = 23 + 57
s = 80
Number of sodas sold = 80
Number of hot dogs sold = 23