¹₂ of the number of turkeys that Farmer Nick had was equal to ⁵₇ of the number of turkeys that Farmer Justin had. When Farmer Nick sold 300 of his turkeys and Farmer Justin bought another 40, the ratio of the number of turkeys that Farmer Nick had to the number of turkeys Farmer Justin had become 4 : 3. What was the total number of turkeys that the 2 farmers had at first?

	Make p the same (1) x 3 = (3)	Farmer Nick (1)	Farmer Justin (2)	Make p the same (2) x 4 = (4)
Before	30 u	10 u	7 u	28 u
Change	- 900	- 300	+ 40	+ 160
After	12 p	4 p	3 p	12 p

Make the numerators the same.
1x52x5 Farmer Nick's turkeys = 5x17x1 Farmer Justin's turkeys
510 Farmer Nick's turkeys = 57 Farmer Justin's turkeys

30 u - 900 = 28 u + 160
30 u - 28 u = 160 + 900
2 u = 1060

1 u = 1060 ÷ 2 = 530

Total number of turkeys that the 2 farmers had
= 10 u + 7 u
= 17 u
= 17 x 530
= 9010

Answer(s): 9010