14 of the number of pigs that Farmer Ryan had was equal to
34 of the number of pigs that Farmer Wesley had. When Farmer Ryan sold 300 of his pigs and Farmer Wesley bought another 40, the ratio of the number of pigs that Farmer Ryan had to the number of pigs Farmer Wesley 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 Ryan (1) |
Farmer Wesley (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 Ryan's pigs =
3x14x1 Farmer Wesley's pigs
312 Farmer Ryan's pigs =
34 Farmer Wesley's pigs
24 u - 600 = 12 u + 120
24 u - 12 u = 120 + 600
12 u = 720
1 u = 720 ÷ 12 = 60
Total number of pigs that the 2 farmers had
= 12 u + 4 u
= 16 u
= 16 x 60
= 960
Answer(s): 960