When Chinmay vested 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.

Question

Philoid · Accepted Answer

Total stalls = 117

Let the number of north Indian stalls be ‘a’

So, the number of south Indian stalls = 117 – a

ratio of North Indian food stalls to South Indian food stalls = =

⇒ =

Cross multiply we get

⇒ 4a = 5 × (117 – a)

⇒ 4a = 585 – 5a

⇒ 4a + 5a = 585

⇒ 9a = 585

⇒ a =

∴ a = 65

∴ 117 – a = 117 – 65 = 52

Number of north Indian stalls is 65 and number of south Indian stalls is 52