There are a total of 722 goats, pigs, chickens and geese at a farm. The number of chickens was 357 more than the number of goats. The total number of pigs and geese was 3 times the number of goats.
- How many pigs and geese were there at the farm?
- The total number of legs for all the pigs and geese was 578. How many pigs were there in the farm?
(a)
Number of goats = 1 u
Number of pigs and geese = 3 u
Number of chickens = 1 u + 357
Total number of animals
= 1 u + 3 u + 1 u + 357
= 5 u + 357
5 u + 357 = 722
5 u = 722 - 357
5 u = 365
1 u = 365 ÷ 5 = 73
Number of pigs and geese
= 3 u
= 3 x 73
= 219
(b)
Number of
pigs |
Number of
pigs' legs |
Number of
geese |
Number of
geese' legs |
Total
|
219
|
219 x 4 =
876 |
0
|
0
|
876
|
218
|
218 x 4 =
872 |
1
|
1 x 2 =
2 |
874
|
70
|
70 x 4 =
280 |
149
|
149 x 2=
298 |
578
|
Total number of pigs and geese = 219
Total number of legs if all of them are pigs
= 219 x 4
= 876
Big difference in the total number of legs between the pigs and the geese
= 876 - 578
= 298
Small difference in number of legs between one pig and one goose
= 4 - 2
= 2
Number of geese
= 298 ÷ 2
= 149
Number of pigs
= 219 - 149
= 70
Answer(s): (a) 219; (b) 70
