13 of the number of ducks that Farmer Jenson had was equal to
35 of the number of ducks that Farmer Cody had. When Farmer Jenson sold 300 of his ducks and Farmer Cody bought another 40, the ratio of the number of ducks that Farmer Jenson had to the number of ducks Farmer Cody had become 5 : 3. What was the total number of ducks that the 2 farmers had at first?
|
Make p the same (1) x 3 = (3) |
Farmer Jenson (1) |
Farmer Cody (2) |
Make p the same (2) x 5 = (4) |
Before |
27 u |
9 u |
5 u |
25 u |
Change |
- 900 |
- 300 |
+ 40 |
+ 200 |
After |
15 p |
5 p |
3 p |
15 p |
Make the numerators the same.
1x33x3 Farmer Jenson's ducks =
3x15x1 Farmer Cody's ducks
39 Farmer Jenson's ducks =
35 Farmer Cody's ducks
27 u - 900 = 25 u + 200
27 u - 25 u = 200 + 900
2 u = 1100
1 u = 1100 ÷ 2 = 550
Total number of ducks that the 2 farmers had
= 9 u + 5 u
= 14 u
= 14 x 550
= 7700
Answer(s): 7700