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When Chinmay visited chowpati at Mumbai on a holiday, he observed that the ratio of North Indian food stalls to South Indian food stalls is 5 : 4. If the total number of food stalls is 117, find the number of each type of food stalls.

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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

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