12 of the number of ducks that Farmer Julian had was equal to
57 of the number of ducks that Farmer Liam had. When Farmer Julian sold 300 of his ducks and Farmer Liam bought another 40, the ratio of the number of ducks that Farmer Julian had to the number of ducks Farmer Liam had become 5 : 6. What was the total number of ducks that the 2 farmers had at first?
|
Make p the same (1) x 6 = (3) |
Farmer Julian (1) |
Farmer Liam (2) |
Make p the same (2) x 5 = (4) |
Before |
60 u |
10 u |
7 u |
35 u |
Change |
- 1800 |
- 300 |
+ 40 |
+ 200 |
After |
30 p |
5 p |
6 p |
30 p |
Make the numerators the same.
1x52x5 Farmer Julian's ducks =
5x17x1 Farmer Liam's ducks
510 Farmer Julian's ducks =
57 Farmer Liam's ducks
60 u - 1800 = 35 u + 200
60 u - 35 u = 200 + 1800
25 u = 2000
1 u = 2000 ÷ 25 = 80
Total number of ducks that the 2 farmers had
= 10 u + 7 u
= 17 u
= 17 x 80
= 1360
Answer(s): 1360