14 of the number of ducks that Farmer Fabian had was equal to
35 of the number of ducks that Farmer Bobby had. When Farmer Fabian sold 300 of his ducks and Farmer Bobby bought another 40, the ratio of the number of ducks that Farmer Fabian had to the number of ducks Farmer Bobby had become 8 : 5. What was the total number of ducks that the 2 farmers had at first?
|
Make p the same (1) x 5 = (3) |
Farmer Fabian (1) |
Farmer Bobby (2) |
Make p the same (2) x 8 = (4) |
Before |
60 u |
12 u |
5 u |
40 u |
Change |
- 1500 |
- 300 |
+ 40 |
+ 320 |
After |
40 p |
8 p |
5 p |
40 p |
Make the numerators the same.
1x34x3 Farmer Fabian's ducks =
3x15x1 Farmer Bobby's ducks
312 Farmer Fabian's ducks =
35 Farmer Bobby's ducks
60 u - 1500 = 40 u + 320
60 u - 40 u = 320 + 1500
20 u = 1820
1 u = 1820 ÷ 20 = 91
Total number of ducks that the 2 farmers had
= 12 u + 5 u
= 17 u
= 17 x 91
= 1547
Answer(s): 1547