Question

There are 19 animals in the field. Some are cows and some are ducks. There are 60 legs in all. How many of each animal are in the field?

Answer 1

There are 11 cows and 8 ducks

Explanation:

x will represent number of cows and (19-x) will represent ducks

`4x+2(19-x)=60`

multiply 2 with (19-x)

`4x+38-2x=60`

add your x's

`2x+38=60`

subtract 38 on both sides

`2x=22`

then divided 2 on both sides

`x=11` cows

now to find ducks subtract

`19-11`

your answer will be 8

So there are 11 cows and 8 ducks

to double check do this

`11*4 + 8*16\\=44+16\\=60`