While driving through the countryside one day I saw a farmer tending his pigs and ducks in his yard. I was curious to know how many of each he had. I stopped the car and inquired.Leaning on the stile jovially, he replied, 'I have altogether 60 eyes and 86 feet between them.'I drove off trying to calculate in my mind the exact number of  pigs and ducks  he had. What do you think is the answer?A. 17,13B. 13,17C. 15 ,15D. 10,20

Based on the information provided, we can solve this problem step by step.

Let's assume that the farmer has x pigs and y ducks.

Pigs have 2 eyes and 4 feet each, while ducks have 2 eyes and 2 feet each.

From the given information, we know that the total number of eyes is 60 and the total number of feet is 86.

So, we can set up the following equations:

2x + 2y = 60 (equation 1) - representing the total number of eyes 4x + 2y = 86 (equation 2) - representing the total number of feet

To solve these equations, we can use substitution or elimination method.

Let's use the elimination method to solve this system of equations:

Multiply equation 1 by 2: 4x + 4y = 120 (equation 3)

Now, subtract equation 2 from equation 3: (4x + 4y) - (4x + 2y) = 120 - 86 2y = 34 y = 17

Substitute the value of y into equation 1: 2x + 2(17) = 60 2x + 34 = 60 2x = 60 - 34 2x = 26 x = 13

Therefore, the farmer has 13 pigs and 17 ducks.

The answer is option B: 13,17.