There are some pigs, geese and cows in a farm.There are 3 times as many geese as cows. Wendy finds out that among the animals, there are a total of 29 heads and 80 legs. How many pigs are there?
Number of
4-legged animals |
Total legs of
4-legged animals |
Number of
2-legged animals |
Total legs of
2-legged animals |
Total legs |
29
|
29 x 4 =
116 |
0
|
0
|
116
|
28
|
28 x 4 =
112 |
1
|
1 x 2 =
2 |
114
|
11
|
11 x 4 =
44 |
18
|
18 x 2 =
36 |
36 |
Total number of legs if all are 4-legged animals
= 4 x 29
= 116
Big difference between all the 2-legged animals and all the 4-legged animals
= 116 - 80
= 36
Small difference between one 2-legged animal and one 4-legged animal
= 4 - 2
= 2
Number of geese
= 36 ÷ 2
= 18
Number of 4-legged animals
= 29 - 18
= 11
Number of cows = 1 u
Number of geese = 3 u
3 u = 18
1 u = 18 ÷ 3 = 6
Number of cows
= 1 u
= 6
Number of pigs
= 11 - 6
= 5
Answer(s): 5
