12 of the number of ducks that Farmer Jenson had was equal to
25 of the number of ducks that Farmer Jeremy had. When Farmer Jenson sold 300 of his ducks and Farmer Jeremy bought another 40, the ratio of the number of ducks that Farmer Jenson had to the number of ducks Farmer Jeremy had become 2 : 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 Jeremy (2) |
Make p the same (2) x 2 = (4) |
Before |
12 u |
4 u |
5 u |
10 u |
Change |
- 900 |
- 300 |
+ 40 |
+ 80 |
After |
6 p |
2 p |
3 p |
6 p |
Make the numerators the same.
1x22x2 Farmer Jenson's ducks =
2x15x1 Farmer Jeremy's ducks
24 Farmer Jenson's ducks =
25 Farmer Jeremy's ducks
12 u - 900 = 10 u + 80
12 u - 10 u = 80 + 900
2 u = 980
1 u = 980 ÷ 2 = 490
Total number of ducks that the 2 farmers had
= 4 u + 5 u
= 9 u
= 9 x 490
= 4410
Answer(s): 4410