Let the food supplement required for 12 cows be x kg.
The quantity of food supplement required and the number of cows are in direct proportion.
∴ (13kg500gram)/9 = xkg./12
∴ 13.5/9 = x/12 ….(13 kg 500 gram = 13.5 kg)
∴ 13.5 × 12 = 9x ….(Multiplying both sides by 9 x 12)
∴ (13.5 x 12)/9 = x
∴ x = 18
∴ The food supplement required for 12 cows is 18 kg.