Question

I have cows and hens. Altogether they have 55 heads and 152 legs. how many cows do I have?

Answer 1

Answer:

$number \: of \: cows = 21 \\ number \: of \: hen = 34$

Step-by-step explanation:

let the number of cows= x

let the number of hens= y

$x + y = 55 \\ 4x + 2y = 152 \\ \\ solving \: these \: we \: get \\ \\ 2x + 2y - 4x - 2y = 110 - 152 \\ - 2x = - 42\\ \\ x = 21\\ \\ y = 55 - 21= 34\\ \\ \\ \\ number \: of \: cows = 21 \\ number \: of \: hen = 34$