12 of the number of turkeys that Farmer John had was equal to
67 of the number of turkeys that Farmer Tim had. When Farmer John sold 300 of his turkeys and Farmer Tim bought another 40, the ratio of the number of turkeys that Farmer John had to the number of turkeys Farmer Tim had become 3 : 2. What was the total number of turkeys that the 2 farmers had at first?
|
Make p the same (1) x 2 = (3) |
Farmer John (1) |
Farmer Tim (2) |
Make p the same (2) x 3 = (4) |
Before |
24 u |
12 u |
7 u |
21 u |
Change |
- 600 |
- 300 |
+ 40 |
+ 120 |
After |
6 p |
3 p |
2 p |
6 p |
Make the numerators the same.
1x62x6 Farmer John's turkeys =
6x17x1 Farmer Tim's turkeys
612 Farmer John's turkeys =
67 Farmer Tim's turkeys
24 u - 600 = 21 u + 120
24 u - 21 u = 120 + 600
3 u = 720
1 u = 720 ÷ 3 = 240
Total number of turkeys that the 2 farmers had
= 12 u + 7 u
= 19 u
= 19 x 240
= 4560
Answer(s): 4560