Let the number of North Indian food stalls be 5x and the number of South Indian food stalls be 4x.
The total number of food stalls = 117
⇒ 5x + 4x = 117 ⇒ 9x = 117
x = 117/9
x = 13
Thus, the number of North Indian food stalls is 5 × 13 = 65
And the number of South Indian food stalls is 4 × 13 = 52