Question

Bunica Mariei are in curte găini și iepuri, în total 43 capete și 124 picioare. Câte găini are bunica Mariei in curte? Dar iepuri?

Answer 1

we are given

there are hens and rabbits

Let's assume

number of hens =x

number of rabbits =y

Since, number of heads for hen is 1

and number of head for rabbit is 1

and we are given

total number of heads =43

so, we get equation as

`x+y=43`

now, we can solve for y

`y=43-x`

There are two legs of hens

and there are four legs of rabbit

and total number of legs =124

so, we will get equation as

`2x+4y=124`

now, we can plug back y

`2x+4(43-x)=124`

now, we can solve for x

`-2x+172=124`

`-2x+172-172=124-172`

`-2x=-48`

`x=24`

now, we can find y

`y=43-24`

`y=19`

So,

Number of hens =24

Number of rabbits =19.........Answer