14 of the number of pigs that Farmer Justin had was equal to
57 of the number of pigs that Farmer Valen had. When Farmer Justin sold 300 of his pigs and Farmer Valen bought another 40, the ratio of the number of pigs that Farmer Justin had to the number of pigs Farmer Valen had become 6 : 5. What was the total number of pigs that the 2 farmers had at first?
|
Make p the same (1) x 5 = (3) |
Farmer Justin (1) |
Farmer Valen (2) |
Make p the same (2) x 6 = (4) |
Before |
100 u |
20 u |
7 u |
42 u |
Change |
- 1500 |
- 300 |
+ 40 |
+ 240 |
After |
30 p |
6 p |
5 p |
30 p |
Make the numerators the same.
1x54x5 Farmer Justin's pigs =
5x17x1 Farmer Valen's pigs
520 Farmer Justin's pigs =
57 Farmer Valen's pigs
100 u - 1500 = 42 u + 240
100 u - 42 u = 240 + 1500
58 u = 1740
1 u = 1740 ÷ 58 = 30
Total number of pigs that the 2 farmers had
= 20 u + 7 u
= 27 u
= 27 x 30
= 810
Answer(s): 810