Answer:
The weight of one rooster is 3 Kg and the weight of one hen is 2 Kg
Step-by-step explanation:
The question in English is
Two roosters weigh as much as 3 chickens. Eight roosters and 9 hens weigh 42 kg. How much does a rooster weigh and how much does a hen weigh, knowing that all roosters have the same weight, respectively the hens weigh the same.
Let
x ----> the weight of one rooster in kilograms
y ----> the weight of one hen in kilograms
we know that
[tex]8x+9y=42[/tex] ------> equation A
[tex]2x=3y[/tex] ----> equation B
Solve the system by graphing
Remember that
The solution of the system of equations is the intersection point both graphs
The solution is the point (3,2)
see the attached figure
therefore
The weight of one rooster is 3 Kg and the weight of one hen is 2 Kg
