There are a total of 607 goats, pigs, chickens and geese at a farm. The number of chickens was 352 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 452. 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 + 352
Total number of animals
= 1 u + 3 u + 1 u + 352
= 5 u + 352
5 u + 352 = 607
5 u = 607 - 352
5 u = 255
1 u = 255 ÷ 5 = 51
Number of pigs and geese
= 3 u
= 3 x 51
= 153
(b)
Number of
pigs |
Number of
pigs' legs |
Number of
geese |
Number of
geese' legs |
Total
|
153
|
153 x 4 =
612 |
0
|
0
|
612
|
152
|
152 x 4 =
608 |
1
|
1 x 2 =
2 |
610
|
73
|
73 x 4 =
292 |
80
|
80 x 2=
160 |
452
|
Total number of pigs and geese = 153
Total number of legs if all of them are pigs
= 153 x 4
= 612
Big difference in the total number of legs between the pigs and the geese
= 612 - 452
= 160
Small difference in number of legs between one pig and one goose
= 4 - 2
= 2
Number of geese
= 160 ÷ 2
= 80
Number of pigs
= 153 - 80
= 73
Answer(s): (a) 153; (b) 73
