Some hens and goats are in a farm. These animals have a total of 21 heads and 64 legs.
- How many goats are there?
- How many hens are there?
Number of
goats |
Number of
goats' legs |
Number of
hens |
Number of
hens' legs |
Total legs |
21
|
21 x 4
= 84 |
0
|
0
|
84 |
20
|
20 x 4
= 80 |
1
|
1 x 2
= 2 |
82
|
| 11 |
11 x 4
= 44 |
10
|
10 x 2
= 20 |
64
|
Number of legs if all are goats
= 21 x 4
= 84
Big difference between the number of legs of the goats and the hens
= 84 - 64
= 20
Small difference between the number of legs of one goat and one hen
= 4 - 2
= 2
Numbers of hens
= 20 ÷ 2
= 10
(b)
Number of goats
= 21 - 10
= 11
Answer(s): (a) 10; (b) 11
