There are some cows, bulls, and 45 hens in a group. One caretaker looks after 15 animals. The number of bulls is twice the number of cows. If the number of the head is less than the total number of feet by 186 (including the caretaker), then how many caretakers are there?

Step-by-step solution

Let the number of cows = x So, the number of bulls = 2 x Number of hens = 45 Number of caretakers required = x + 2 x + 45 15 Number of feet = (Number of feet of cow) × (Number of cows) + (Number of feet of bull × (Number of bulls) + (Number of feet of hen) × (Number of hens) + (Number of feet of caretaker) × (Number of caretakers) = 4 x + 8 x + 90 + 2   ( x + 2 x + 45 15 ) Number of head = (Number of head of cow) × (Number of cows) + (Number of head of bull × (Number of bulls) + (