The number of dogs and chickens on a farm add up to 14. The number of legs between them is 36. How many dogs and how many chickens are on the farm if there are at least twice as many chickens as dogs?
D = 14 - C
4D + 2C = 36
Substitute 14-C for D in second equation and solve for C. Insert that value into the first equation and solve for D. Check by inserting both values into the second equation.
To solve this problem, let's break it down into steps:
1. Let's assume there are x dogs on the farm.
2. Since there are at least twice as many chickens as dogs, we can assume there are at least 2x chickens on the farm.
3. The total number of animals (dogs and chickens) is given as 14, so we can write the equation: x + 2x = 14.
4. Simplifying the equation, we have 3x = 14.
5. Dividing both sides of the equation by 3, we find x = 14/3, which is not a whole number. This implies that the solution is not an integer value, which doesn't make sense in this context.
Therefore, there might be a mistake in the given problem statement. Please double-check the information provided and make sure it is correct.