There are some horses, geese and goats in a farm.There are 4 times as many geese as goats. Esther finds out that among the animals, there are a total of 26 heads and 88 legs. How many horses 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 |
26
|
26 x 4 =
104 |
0
|
0
|
104
|
25
|
25 x 4 =
100 |
1
|
1 x 2 =
2 |
102
|
18
|
18 x 4 =
72 |
8
|
8 x 2 =
16 |
16 |
Total number of legs if all are 4-legged animals
= 4 x 26
= 104
Big difference between all the 2-legged animals and all the 4-legged animals
= 104 - 88
= 16
Small difference between one 2-legged animal and one 4-legged animal
= 4 - 2
= 2
Number of geese
= 16 ÷ 2
= 8
Number of 4-legged animals
= 26 - 8
= 18
Number of goats = 1 u
Number of geese = 4 u
4 u = 8
1 u = 8 ÷ 4 = 2
Number of goats
= 1 u
= 2
Number of horses
= 18 - 2
= 16
Answer(s): 16
