¹₃ of the number of turkeys that Farmer Ivan had was equal to ³₄ of the number of turkeys that Farmer Julian had. When Farmer Ivan sold 300 of his turkeys and Farmer Julian bought another 40, the ratio of the number of turkeys that Farmer Ivan had to the number of turkeys Farmer Julian 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 Ivan (1)	Farmer Julian (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 Ivan's turkeys = 3x14x1 Farmer Julian's turkeys
39 Farmer Ivan's turkeys = 34 Farmer Julian'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