There are a total of 680 donkeys, horses, ducks and chickens at a farm. The number of ducks was 390 more than the number of donkeys. The total number of horses and chickens was 3 times the number of donkeys.
- How many horses and chickens were there at the farm?
- The total number of legs for all the horses and chickens was 694. How many horses were there in the farm?
(a)
Number of donkeys = 1 u
Number of horses and chickens = 3 u
Number of ducks = 1 u + 390
Total number of animals
= 1 u + 3 u + 1 u + 390
= 5 u + 390
5 u + 390 = 680
5 u = 680 - 390
5 u = 290
1 u = 290 ÷ 5 = 58
Number of horses and chickens
= 3 u
= 3 x 58
= 174
(b)
Number of
horses |
Number of
horses' legs |
Number of
chickens |
Number of
chickens' legs |
Total
|
174
|
174 x 4 =
696 |
0
|
0
|
696
|
173
|
173 x 4 =
692 |
1
|
1 x 2 =
2 |
694
|
173
|
173 x 4 =
692 |
1
|
1 x 2=
2 |
694
|
Total number of horses and chickens = 174
Total number of legs if all of them are horses
= 174 x 4
= 696
Big difference in the total number of legs between the horses and the chickens
= 696 - 694
= 2
Small difference in number of legs between one horse and one chicken
= 4 - 2
= 2
Number of chickens
= 2 ÷ 2
= 1
Number of horses
= 174 - 1
= 173
Answer(s): (a) 174; (b) 173
