13 of the number of pigs that Farmer Vaidev had was equal to
67 of the number of pigs that Farmer Jeremy had. When Farmer Vaidev sold 300 of his pigs and Farmer Jeremy bought another 40, the ratio of the number of pigs that Farmer Vaidev had to the number of pigs Farmer Jeremy had become 3 : 2. What was the total number of pigs that the 2 farmers had at first?
|
Make p the same (1) x 2 = (3) |
Farmer Vaidev (1) |
Farmer Jeremy (2) |
Make p the same (2) x 3 = (4) |
Before |
36 u |
18 u |
7 u |
21 u |
Change |
- 600 |
- 300 |
+ 40 |
+ 120 |
After |
6 p |
3 p |
2 p |
6 p |
Make the numerators the same.
1x63x6 Farmer Vaidev's pigs =
6x17x1 Farmer Jeremy's pigs
618 Farmer Vaidev's pigs =
67 Farmer Jeremy's pigs
36 u - 600 = 21 u + 120
36 u - 21 u = 120 + 600
15 u = 720
1 u = 720 ÷ 15 = 48
Total number of pigs that the 2 farmers had
= 18 u + 7 u
= 25 u
= 25 x 48
= 1200
Answer(s): 1200