¹₂ of the number of turkeys that Farmer Nick had was equal to ³₄ of the number of turkeys that Farmer Carl had. When Farmer Nick sold 300 of his turkeys and Farmer Carl bought another 40, the ratio of the number of turkeys that Farmer Nick had to the number of turkeys Farmer Carl had become 8 : 7. What was the total number of turkeys that the 2 farmers had at first?

	Make p the same (1) x 7 = (3)	Farmer Nick (1)	Farmer Carl (2)	Make p the same (2) x 8 = (4)
Before	42 u	6 u	4 u	32 u
Change	- 2100	- 300	+ 40	+ 320
After	56 p	8 p	7 p	56 p

Make the numerators the same.
1x32x3 Farmer Nick's turkeys = 3x14x1 Farmer Carl's turkeys
36 Farmer Nick's turkeys = 34 Farmer Carl's turkeys

42 u - 2100 = 32 u + 320
42 u - 32 u = 320 + 2100
10 u = 2420

1 u = 2420 ÷ 10 = 242

Total number of turkeys that the 2 farmers had
= 6 u + 4 u
= 10 u
= 10 x 242
= 2420

Answer(s): 2420