Answer:
There are 40 chickens, 80 ducks and 55 turkeys on the farm.
Explanation:
Let "d" be the number of ducks on the farm.
Let "c" be the number of chickens on the farm.
Let "t" be the number of turkeys on the farm.
We can create three equations from the given information and defined variables.
The farm has a total of 175 birds, so:
⇒ d + c + t = 175
There are twice as many ducks as chickens, so:
⇒ d = 2c
There are 15 more turkeys than chickens, so:
⇒ t = c + 15
We can use these three equations to solve for c, the number of chickens, by substituting the second and third equations into the first equation:
⇒ d + c + t = 175
⇒ 2c + c + c + 15 = 175
⇒ 4c + 15 = 175
⇒ 4c + 15 - 15 = 175 - 15
⇒ 4c = 160
⇒ 4c ÷ 4 = 160 ÷ 4
⇒ c = 40
Therefore, there are 40 chickens on the farm.
Since we know the number of chickens is 40, we can substitute c = 40 into the other equations to find the number of ducks and turkeys.
Ducks:
⇒ d = 2c
⇒ d = 2(40)
⇒ d = 80
Turkeys:
⇒ t = c + 15
⇒ t = 40 + 15
⇒ t = 55
Therefore, there are 40 chickens, 80 ducks and 55 turkeys on the farm.