13 of the number of ducks that Farmer Flynn had was equal to
34 of the number of ducks that Farmer Vincent had. When Farmer Flynn sold 300 of his ducks and Farmer Vincent bought another 40, the ratio of the number of ducks that Farmer Flynn had to the number of ducks Farmer Vincent had become 6 : 7. What was the total number of ducks that the 2 farmers had at first?
|
Make p the same (1) x 7 = (3) |
Farmer Flynn (1) |
Farmer Vincent (2) |
Make p the same (2) x 6 = (4) |
Before |
63 u |
9 u |
4 u |
24 u |
Change |
- 2100 |
- 300 |
+ 40 |
+ 240 |
After |
42 p |
6 p |
7 p |
42 p |
Make the numerators the same.
1x33x3 Farmer Flynn's ducks =
3x14x1 Farmer Vincent's ducks
39 Farmer Flynn's ducks =
34 Farmer Vincent's ducks
63 u - 2100 = 24 u + 240
63 u - 24 u = 240 + 2100
39 u = 2340
1 u = 2340 ÷ 39 = 60
Total number of ducks that the 2 farmers had
= 9 u + 4 u
= 13 u
= 13 x 60
= 780
Answer(s): 780