13 of the number of turkeys that Farmer Bobby had was equal to
35 of the number of turkeys that Farmer Albert had. When Farmer Bobby sold 300 of his turkeys and Farmer Albert bought another 40, the ratio of the number of turkeys that Farmer Bobby had to the number of turkeys Farmer Albert had become 6 : 5. What was the total number of turkeys that the 2 farmers had at first?
|
Make p the same (1) x 5 = (3) |
Farmer Bobby (1) |
Farmer Albert (2) |
Make p the same (2) x 6 = (4) |
Before |
45 u |
9 u |
5 u |
30 u |
Change |
- 1500 |
- 300 |
+ 40 |
+ 240 |
After |
30 p |
6 p |
5 p |
30 p |
Make the numerators the same.
1x33x3 Farmer Bobby's turkeys =
3x15x1 Farmer Albert's turkeys
39 Farmer Bobby's turkeys =
35 Farmer Albert's turkeys
45 u - 1500 = 30 u + 240
45 u - 30 u = 240 + 1500
15 u = 1740
1 u = 1740 ÷ 15 = 116
Total number of turkeys that the 2 farmers had
= 9 u + 5 u
= 14 u
= 14 x 116
= 1624
Answer(s): 1624