At a farm, there were
57 as many ducks and pigs. The farmer added another 21 ducks but sold away 41 pigs. In the end, there were 8 pigs more than ducks. How many ducks and pigs were there altogether in the end?
|
Ducks |
Pigs |
Before |
5 u |
7 u |
Change |
+ 21 |
- 41 |
After |
5 u + 21 |
7 u - 41 |
If the farmer had another 8 ducks in the end, the number of ducks and (chickens) would be the same.
7 u - 41 = 5 u + 21 + 8
7 u - 5 u = 29 + 41
2 u = 70
1 u = 70 ÷ 2 = 35
Number of pigs and ducks in the end
= 5 u + 21 + 7 u - 41
= 5 u + 7 u + 21 - 41
= 12 u - 20
= 12 x 35 - 20
= 400
Answer(s): 400