There are a total of 710 goats, donkeys, geese and chickens at a farm. The number of geese was 355 more than the number of goats. The total number of donkeys and chickens was 3 times the number of goats.
- How many donkeys and chickens were there at the farm?
- The total number of legs for all the donkeys and chickens was 462. How many donkeys were there in the farm?
(a)
Number of goats = 1 u
Number of donkeys and chickens = 3 u
Number of geese = 1 u + 355
Total number of animals
= 1 u + 3 u + 1 u + 355
= 5 u + 355
5 u + 355 = 710
5 u = 710 - 355
5 u = 355
1 u = 355 ÷ 5 = 71
Number of donkeys and chickens
= 3 u
= 3 x 71
= 213
(b)
Number of
donkeys |
Number of
donkeys' legs |
Number of
chickens |
Number of
chickens' legs |
Total
|
213
|
213 x 4 =
852 |
0
|
0
|
852
|
212
|
212 x 4 =
848 |
1
|
1 x 2 =
2 |
850
|
18
|
18 x 4 =
72 |
195
|
195 x 2=
390 |
462
|
Total number of donkeys and chickens = 213
Total number of legs if all of them are donkeys
= 213 x 4
= 852
Big difference in the total number of legs between the donkeys and the chickens
= 852 - 462
= 390
Small difference in number of legs between one donkey and one chicken
= 4 - 2
= 2
Number of chickens
= 390 ÷ 2
= 195
Number of donkeys
= 213 - 195
= 18
Answer(s): (a) 213; (b) 18
