Some hens and goats are in a farm. These animals have a total of 15 heads and 50 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 |
15
|
15 x 4 = 60 |
0
|
0
|
60 |
14
|
14 x 4 = 56 |
1
|
1 x 2 = 2 |
58
|
10 |
10 x 4 = 40 |
5
|
5 x 2 = 10 |
50
|
Number of legs if all are goats
= 15 x 4
= 60
Big difference between the number of legs of the goats and the hens
= 60 - 50
= 10
Small difference between the number of legs of one goat and one hen
= 4 - 2
= 2
Numbers of hens
= 10 ÷ 2
= 5
(b)
Number of goats
= 15 - 5
= 10
Answer(s): (a) 5; (b) 10