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.


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


65
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