¹₄ of the number of chickens that Farmer Sean had was equal to ³₅ of the number of chickens that Farmer Reggie had. When Farmer Sean sold 300 of his chickens and Farmer Reggie bought another 40, the ratio of the number of chickens that Farmer Sean had to the number of chickens Farmer Reggie had become 3 : 2. What was the total number of chickens that the 2 farmers had at first?

	Make p the same (1) x 2 = (3)	Farmer Sean (1)	Farmer Reggie (2)	Make p the same (2) x 3 = (4)
Before	24 u	12 u	5 u	15 u
Change	- 600	- 300	+ 40	+ 120
After	6 p	3 p	2 p	6 p

Make the numerators the same.
1x34x3 Farmer Sean's chickens = 3x15x1 Farmer Reggie's chickens
312 Farmer Sean's chickens = 35 Farmer Reggie's chickens

24 u - 600 = 15 u + 120
24 u - 15 u = 120 + 600
9 u = 720

1 u = 720 ÷ 9 = 80

Total number of chickens that the 2 farmers had
= 12 u + 5 u
= 17 u
= 17 x 80
= 1360

Answer(s): 1360