Answer:
See explanation
Explanation:
Let c be the number of cows and d be the number of ducks.
c cows have 4c feet, d ducks have 2d feet. In total, c cows and d ducks have
4c + 2d = 148 feet.
Divide it by 2:
2c + d = 74.
This gives us that the number of ducks is even and cannot be 0 (because farmer Brwn has ducks). The minimum possible number of ducks is 2, so the maximum possible number of cows is 36.
All possible answers:
Ducks Cows
2 36
4 35
6 34
8 33
10 32
12 31
14 30
16 29
18 28
20 27
22 26
24 25
26 24
28 23
30 22
32 21
34 20
36 19
38 18
40 17
42 16
44 15
46 14
48 13
50 12
52 11
54 10
56 9
58 8
60 7
62 6
64 5
66 4
68 3
70 2
72 1