15 of the number of pigs that Farmer Charlie had was equal to
25 of the number of pigs that Farmer Henry had. When Farmer Charlie sold 300 of his pigs and Farmer Henry bought another 40, the ratio of the number of pigs that Farmer Charlie had to the number of pigs Farmer Henry had become 8 : 5. What was the total number of pigs that the 2 farmers had at first?
|
Make p the same (1) x 5 = (3) |
Farmer Charlie (1) |
Farmer Henry (2) |
Make p the same (2) x 8 = (4) |
Before |
50 u |
10 u |
5 u |
40 u |
Change |
- 1500 |
- 300 |
+ 40 |
+ 320 |
After |
40 p |
8 p |
5 p |
40 p |
Make the numerators the same.
1x25x2 Farmer Charlie's pigs =
2x15x1 Farmer Henry's pigs
210 Farmer Charlie's pigs =
25 Farmer Henry's pigs
50 u - 1500 = 40 u + 320
50 u - 40 u = 320 + 1500
10 u = 1820
1 u = 1820 ÷ 10 = 182
Total number of pigs that the 2 farmers had
= 10 u + 5 u
= 15 u
= 15 x 182
= 2730
Answer(s): 2730