13 of the number of pigs that Farmer Owen had was equal to
57 of the number of pigs that Farmer Carl had. When Farmer Owen sold 300 of his pigs and Farmer Carl bought another 40, the ratio of the number of pigs that Farmer Owen had to the number of pigs Farmer Carl 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 Owen (1) |
Farmer Carl (2) |
Make p the same (2) x 3 = (4) |
Before |
30 u |
15 u |
7 u |
21 u |
Change |
- 600 |
- 300 |
+ 40 |
+ 120 |
After |
6 p |
3 p |
2 p |
6 p |
Make the numerators the same.
1x53x5 Farmer Owen's pigs =
5x17x1 Farmer Carl's pigs
515 Farmer Owen's pigs =
57 Farmer Carl's pigs
30 u - 600 = 21 u + 120
30 u - 21 u = 120 + 600
9 u = 720
1 u = 720 ÷ 9 = 80
Total number of pigs that the 2 farmers had
= 15 u + 7 u
= 22 u
= 22 x 80
= 1760
Answer(s): 1760