At a farm, there were
57 as many goats and ducks. The farmer added another 27 goats but sold away 37 ducks. In the end, there were 4 ducks more than goats. How many goats and ducks were there altogether in the end?
| |
Goats |
Ducks |
| Before |
5 u |
7 u |
| Change |
+ 27 |
- 37 |
| After |
5 u + 27 |
7 u - 37 |
If the farmer had another 4 goats in the end, the number of goats and (chickens) would be the same.
7 u - 37 = 5 u + 27 + 4
7 u - 5 u = 31 + 37
2 u = 68
1 u = 68 ÷ 2 = 34
Number of ducks and goats in the end
= 5 u + 27 + 7 u - 37
= 5 u + 7 u + 27 - 37
= 12 u - 10
= 12 x 34 - 10
= 398
Answer(s): 398
