Answer:
There are in total 17 geese and 15 pigs.
Step-by-step explanation:
Let us assume the number of geese = m
Also, the number of pigs = n
As, there are 32 heads.
⇒ m + n = 32 .... (1)
The number of legs each pig has = 4
So, the number of legs of n pigs = n ( Legs of 1 pig) = n (4) = 4 n
The number of legs each goose has = 2
So, the number of legs of m geese = n ( Legs of 1 goose) = m (2) = 2 m
As, there are total 94 feet.
⇒ 2 m + 4 n =94 .... (2)
Now, solving the given system for the value of m and n:
m + n = 32 ... (1) .......... x[ -2]
2 m + 4 n =94 ... (2)
Multiply (1) with -2 and add with (2),w e get:
-2 m - 2n + 2m + 4n = -64 + 94
⇒ 2n = 30
⇒ n = 30/2 =15
So, m = 32 - 15 = 17
Hence there are in total 17 geese and 15 pigs.
