¹₄ of the number of turkeys that Farmer Ian had was equal to ³₅ of the number of turkeys that Farmer Michael had. When Farmer Ian sold 300 of his turkeys and Farmer Michael bought another 40, the ratio of the number of turkeys that Farmer Ian had to the number of turkeys Farmer Michael 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 Ian (1)	Farmer Michael (2)	Make p the same (2) x 6 = (4)
Before	60 u	12 u	5 u	30 u
Change	- 1500	- 300	+ 40	+ 240
After	30 p	6 p	5 p	30 p

Make the numerators the same.
1x34x3 Farmer Ian's turkeys = 3x15x1 Farmer Michael's turkeys
312 Farmer Ian's turkeys = 35 Farmer Michael's turkeys

60 u - 1500 = 30 u + 240
60 u - 30 u = 240 + 1500
30 u = 1740

1 u = 1740 ÷ 30 = 58

Total number of turkeys that the 2 farmers had
= 12 u + 5 u
= 17 u
= 17 x 58
= 986

Answer(s): 986