14 of the number of ducks that Farmer Zeph had was equal to
34 of the number of ducks that Farmer Peter had. When Farmer Zeph sold 300 of his ducks and Farmer Peter bought another 40, the ratio of the number of ducks that Farmer Zeph had to the number of ducks Farmer Peter had become 3 : 2. What was the total number of ducks that the 2 farmers had at first?
|
Make p the same (1) x 2 = (3) |
Farmer Zeph (1) |
Farmer Peter (2) |
Make p the same (2) x 3 = (4) |
Before |
24 u |
12 u |
4 u |
12 u |
Change |
- 600 |
- 300 |
+ 40 |
+ 120 |
After |
6 p |
3 p |
2 p |
6 p |
Make the numerators the same.
1x34x3 Farmer Zeph's ducks =
3x14x1 Farmer Peter's ducks
312 Farmer Zeph's ducks =
34 Farmer Peter's ducks
24 u - 600 = 12 u + 120
24 u - 12 u = 120 + 600
12 u = 720
1 u = 720 ÷ 12 = 60
Total number of ducks that the 2 farmers had
= 12 u + 4 u
= 16 u
= 16 x 60
= 960
Answer(s): 960