13 of the number of turkeys that Farmer Will had was equal to
34 of the number of turkeys that Farmer Tim had. When Farmer Will sold 300 of his turkeys and Farmer Tim bought another 40, the ratio of the number of turkeys that Farmer Will had to the number of turkeys Farmer Tim had become 3 : 4. What was the total number of turkeys that the 2 farmers had at first?
|
Make p the same (1) x 4 = (3) |
Farmer Will (1) |
Farmer Tim (2) |
Make p the same (2) x 3 = (4) |
Before |
36 u |
9 u |
4 u |
12 u |
Change |
- 1200 |
- 300 |
+ 40 |
+ 120 |
After |
12 p |
3 p |
4 p |
12 p |
Make the numerators the same.
1x33x3 Farmer Will's turkeys =
3x14x1 Farmer Tim's turkeys
39 Farmer Will's turkeys =
34 Farmer Tim's turkeys
36 u - 1200 = 12 u + 120
36 u - 12 u = 120 + 1200
24 u = 1320
1 u = 1320 ÷ 24 = 55
Total number of turkeys that the 2 farmers had
= 9 u + 4 u
= 13 u
= 13 x 55
= 715
Answer(s): 715