Question

Farmer Brown has cows and ducks. There is a total of 148 "feet." Figure out how many of each Farmer Brown has. Could someone help me with this question.

Answer 1

Answer:

See explanation

Step-by-step 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