Answer: The farmer has 120 birds altogether
Step-by-step explanation:
Now, since the number of chickens us equal to 4 times the number of ducks, it means that if there are 2 ducks, there are (2 × 4) chickens and if there are 5 ducks in the farm, there are (5 × 4) chickens.
Let's then denote the number of ducks by "b". So, if the number of chickens is equal to 4 times the number of ducks, then the total quantity of birds belonging to the farmer
= 4b + b
If there are 72 more chickens than ducks, the quantity of birds is:
4b - b = 72
3b = 72
b = 72/3
b = 24 ducks
Since 4b represents the quantity of chickens and b is equal to 24, then the actual quantity of chickens = 4 × 24 = 96.
Therefore, if there are 96 chickens and 24 ducks in the farm, then the actual sum of the birds belonging to the farmer is:
96 + 24
= 120 birds
The farmer has 120 birds altogether.
