12 of the number of ducks that Farmer Cody had was equal to
34 of the number of ducks that Farmer Fabian had. When Farmer Cody sold 300 of his ducks and Farmer Fabian bought another 40, the ratio of the number of ducks that Farmer Cody had to the number of ducks Farmer Fabian had become 5 : 4. What was the total number of ducks that the 2 farmers had at first?
|
Make p the same (1) x 4 = (3) |
Farmer Cody (1) |
Farmer Fabian (2) |
Make p the same (2) x 5 = (4) |
Before |
24 u |
6 u |
4 u |
20 u |
Change |
- 1200 |
- 300 |
+ 40 |
+ 200 |
After |
20 p |
5 p |
4 p |
20 p |
Make the numerators the same.
1x32x3 Farmer Cody's ducks =
3x14x1 Farmer Fabian's ducks
36 Farmer Cody's ducks =
34 Farmer Fabian's ducks
24 u - 1200 = 20 u + 200
24 u - 20 u = 200 + 1200
4 u = 1400
1 u = 1400 ÷ 4 = 350
Total number of ducks that the 2 farmers had
= 6 u + 4 u
= 10 u
= 10 x 350
= 3500
Answer(s): 3500