There are a total of 680 pigs, donkeys, chickens and geese at a farm. The number of chickens was 332 more than the number of pigs. The total number of donkeys and geese was 2 times the number of pigs.
- How many donkeys and geese were there at the farm?
- The total number of legs for all the donkeys and geese was 628. How many donkeys were there in the farm?
(a)
Number of pigs = 1 u
Number of donkeys and geese = 2 u
Number of chickens = 1 u + 332
Total number of animals
= 1 u + 2 u + 1 u + 332
= 4 u + 332
4 u + 332 = 680
4 u = 680 - 332
4 u = 348
1 u = 348 ÷ 4 = 87
Number of donkeys and geese
= 2 u
= 2 x 87
= 174
(b)
Number of
donkeys |
Number of
donkeys' legs |
Number of
geese |
Number of
geese' legs |
Total
|
174
|
174 x 4 =
696 |
0
|
0
|
696
|
173
|
173 x 4 =
692 |
1
|
1 x 2 =
2 |
694
|
140
|
140 x 4 =
560 |
34
|
34 x 2=
68 |
628
|
Total number of donkeys and geese = 174
Total number of legs if all of them are donkeys
= 174 x 4
= 696
Big difference in the total number of legs between the donkeys and the geese
= 696 - 628
= 68
Small difference in number of legs between one donkey and one goose
= 4 - 2
= 2
Number of geese
= 68 ÷ 2
= 34
Number of donkeys
= 174 - 34
= 140
Answer(s): (a) 174; (b) 140
