There are a total of 754 donkeys, donkeys, hens and chickens at a farm. The number of hens was 384 more than the number of donkeys. The total number of donkeys and chickens was 3 times the number of donkeys.
- How many donkeys and chickens were there at the farm?
- The total number of legs for all the donkeys and chickens was 522. How many donkeys were there in the farm?
(a)
Number of donkeys = 1 u
Number of donkeys and chickens = 3 u
Number of hens = 1 u + 384
Total number of animals
= 1 u + 3 u + 1 u + 384
= 5 u + 384
5 u + 384 = 754
5 u = 754 - 384
5 u = 370
1 u = 370 ÷ 5 = 74
Number of donkeys and chickens
= 3 u
= 3 x 74
= 222
(b)
Number of
donkeys |
Number of
donkeys' legs |
Number of
chickens |
Number of
chickens' legs |
Total
|
222
|
222 x 4 =
888 |
0
|
0
|
888
|
221
|
221 x 4 =
884 |
1
|
1 x 2 =
2 |
886
|
39
|
39 x 4 =
156 |
183
|
183 x 2=
366 |
522
|
Total number of donkeys and chickens = 222
Total number of legs if all of them are donkeys
= 222 x 4
= 888
Big difference in the total number of legs between the donkeys and the chickens
= 888 - 522
= 366
Small difference in number of legs between one donkey and one chicken
= 4 - 2
= 2
Number of chickens
= 366 ÷ 2
= 183
Number of donkeys
= 222 - 183
= 39
Answer(s): (a) 222; (b) 39
