14 of the number of pigs that Farmer Tom had was equal to
35 of the number of pigs that Farmer Billy had. When Farmer Tom sold 300 of his pigs and Farmer Billy bought another 40, the ratio of the number of pigs that Farmer Tom had to the number of pigs Farmer Billy had become 5 : 3. What was the total number of pigs that the 2 farmers had at first?
|
Make p the same (1) x 3 = (3) |
Farmer Tom (1) |
Farmer Billy (2) |
Make p the same (2) x 5 = (4) |
Before |
36 u |
12 u |
5 u |
25 u |
Change |
- 900 |
- 300 |
+ 40 |
+ 200 |
After |
15 p |
5 p |
3 p |
15 p |
Make the numerators the same.
1x34x3 Farmer Tom's pigs =
3x15x1 Farmer Billy's pigs
312 Farmer Tom's pigs =
35 Farmer Billy's pigs
36 u - 900 = 25 u + 200
36 u - 25 u = 200 + 900
11 u = 1100
1 u = 1100 ÷ 11 = 100
Total number of pigs that the 2 farmers had
= 12 u + 5 u
= 17 u
= 17 x 100
= 1700
Answer(s): 1700