The farmer has 18 donkeys out of a total of 26 chickens and donkeys.
Let's represent the number of chickens as C and the number of donkeys as D. The total number of animals is given as 26, so C + D = 26. Additionally, each chicken has 2 legs, and each donkey has 4 legs, making the total number of legs 88. This can be expressed as 2C + 4D = 88.
Now, we can set up a system of two equations to solve for C and D:
Equation 1: C + D = 26
Equation 2: 2C + 4D = 88
First, we can simplify Equation 2 by dividing both sides by 2:
C + 2D = 44
Now, we can use Equation 1 and the simplified Equation 2 to solve for C and D. Subtracting Equation 1 from the simplified Equation 2 eliminates C:
(C + 2D) - (C + D) = 44 - 26
Simplifying further, we get D = 18.
So, there are 18 donkeys on the farm.
The question probable may be:
A farmer owns a total of 26 chickens and donkeys. The chickens andDonkeys have 88 legs altogether. How many donkeys are there?