12 of the number of geese that Farmer Vaidev had was equal to
34 of the number of geese that Farmer Seth had. When Farmer Vaidev sold 300 of his geese and Farmer Seth bought another 40, the ratio of the number of geese that Farmer Vaidev had to the number of geese Farmer Seth had become 4 : 3. What was the total number of geese that the 2 farmers had at first?
|
Make p the same (1) x 3 = (3) |
Farmer Vaidev (1) |
Farmer Seth (2) |
Make p the same (2) x 4 = (4) |
Before |
18 u |
6 u |
4 u |
16 u |
Change |
- 900 |
- 300 |
+ 40 |
+ 160 |
After |
12 p |
4 p |
3 p |
12 p |
Make the numerators the same.
1x32x3 Farmer Vaidev's geese =
3x14x1 Farmer Seth's geese
36 Farmer Vaidev's geese =
34 Farmer Seth's geese
18 u - 900 = 16 u + 160
18 u - 16 u = 160 + 900
2 u = 1060
1 u = 1060 ÷ 2 = 530
Total number of geese that the 2 farmers had
= 6 u + 4 u
= 10 u
= 10 x 530
= 5300
Answer(s): 5300