There are a total of 704 goats, donkeys, geese and chickens at a farm. The number of geese was 304 more than the number of goats. The total number of donkeys and chickens was 2 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 454. How many donkeys were there in the farm?
(a)
Number of goats = 1 u
Number of donkeys and chickens = 2 u
Number of geese = 1 u + 304
Total number of animals
= 1 u + 2 u + 1 u + 304
= 4 u + 304
4 u + 304 = 704
4 u = 704 - 304
4 u = 400
1 u = 400 ÷ 4 = 100
Number of donkeys and chickens
= 2 u
= 2 x 100
= 200
(b)
Number of
donkeys |
Number of
donkeys' legs |
Number of
chickens |
Number of
chickens' legs |
Total
|
200
|
200 x 4 =
800 |
0
|
0
|
800
|
199
|
199 x 4 =
796 |
1
|
1 x 2 =
2 |
798
|
27
|
27 x 4 =
108 |
173
|
173 x 2=
346 |
454
|
Total number of donkeys and chickens = 200
Total number of legs if all of them are donkeys
= 200 x 4
= 800
Big difference in the total number of legs between the donkeys and the chickens
= 800 - 454
= 346
Small difference in number of legs between one donkey and one chicken
= 4 - 2
= 2
Number of chickens
= 346 ÷ 2
= 173
Number of donkeys
= 200 - 173
= 27
Answer(s): (a) 200; (b) 27
