14 of the number of pigs that Farmer Ryan had was equal to
34 of the number of pigs that Farmer Japheth had. When Farmer Ryan sold 300 of his pigs and Farmer Japheth bought another 40, the ratio of the number of pigs that Farmer Ryan had to the number of pigs Farmer Japheth had become 7 : 4. What was the total number of pigs that the 2 farmers had at first?
|
Make p the same (1) x 4 = (3) |
Farmer Ryan (1) |
Farmer Japheth (2) |
Make p the same (2) x 7 = (4) |
Before |
48 u |
12 u |
4 u |
28 u |
Change |
- 1200 |
- 300 |
+ 40 |
+ 280 |
After |
28 p |
7 p |
4 p |
28 p |
Make the numerators the same.
1x34x3 Farmer Ryan's pigs =
3x14x1 Farmer Japheth's pigs
312 Farmer Ryan's pigs =
34 Farmer Japheth's pigs
48 u - 1200 = 28 u + 280
48 u - 28 u = 280 + 1200
20 u = 1480
1 u = 1480 ÷ 20 = 74
Total number of pigs that the 2 farmers had
= 12 u + 4 u
= 16 u
= 16 x 74
= 1184
Answer(s): 1184