Question

28. A man has some hens and cows. If heads
: feet = 2 : 35 and total number of heads
is 48, then find the number of hens.​

Answer 1

Answer:

26

Step-by-step explanation:

Ratio of head:feet = 12:35 and no. of heads=48

Using products of means = products of extremes

thus (35*48)/12 = 140 feets

Now, as we know cow has 1 head, 4 feets and hen has 1 head, 2 feets

Let the no. of cows be x and no. of hens be y.

Thus x+y = 48(heads) .......(1)

4x+2y = 140(feets) ......(2)

Solving eq. (1) and (2)

we get x=22 and y=26.

i.e no. of cows=22 and no. of hens=26