There are a total of 701 horses, sheep, chickens and geese at a farm. The number of chickens was 386 more than the number of horses. The total number of sheep and geese was 3 times the number of horses.
- How many sheep and geese were there at the farm?
- The total number of legs for all the sheep and geese was 432. How many sheep were there in the farm?
(a)
Number of horses = 1 u
Number of sheep and geese = 3 u
Number of chickens = 1 u + 386
Total number of animals
= 1 u + 3 u + 1 u + 386
= 5 u + 386
5 u + 386 = 701
5 u = 701 - 386
5 u = 315
1 u = 315 ÷ 5 = 63
Number of sheep and geese
= 3 u
= 3 x 63
= 189
(b)
Number of
sheep |
Number of
sheep' legs |
Number of
geese |
Number of
geese' legs |
Total
|
189
|
189 x 4 =
756 |
0
|
0
|
756
|
188
|
188 x 4 =
752 |
1
|
1 x 2 =
2 |
754
|
27
|
27 x 4 =
108 |
162
|
162 x 2=
324 |
432
|
Total number of sheep and geese = 189
Total number of legs if all of them are sheep
= 189 x 4
= 756
Big difference in the total number of legs between the sheep and the geese
= 756 - 432
= 324
Small difference in number of legs between one sheep and one goose
= 4 - 2
= 2
Number of geese
= 324 ÷ 2
= 162
Number of sheep
= 189 - 162
= 27
Answer(s): (a) 189; (b) 27
