Question

Doi cocosi cantaresc tot atat cat 3 gaini. Opt cocosi si 9 gaini cantaresc 42 kg. Cat cantareste un cocos si cat cantareste o gaine , stiind ca toti cocosii au aceeasi greutate , respectivtoate gainile cantaresc la fel. METODA ARITMETICA

Answer 1

The weight of one rooster is 3 Kg and the weight of one hen is 2 Kg

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

`8x+9y=42` ------> equation A

`2x=3y` ----> 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