¹₄ of the number of chickens that Farmer Luis had was equal to ³₅ of the number of chickens that Farmer Bryan had. When Farmer Luis sold 300 of his chickens and Farmer Bryan bought another 40, the ratio of the number of chickens that Farmer Luis had to the number of chickens Farmer Bryan had become 3 : 4. What was the total number of chickens that the 2 farmers had at first?

	Make p the same (1) x 4 = (3)	Farmer Luis (1)	Farmer Bryan (2)	Make p the same (2) x 3 = (4)
Before	48 u	12 u	5 u	15 u
Change	- 1200	- 300	+ 40	+ 120
After	12 p	3 p	4 p	12 p

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

48 u - 1200 = 15 u + 120
48 u - 15 u = 120 + 1200
33 u = 1320

1 u = 1320 ÷ 33 = 40

Total number of chickens that the 2 farmers had
= 12 u + 5 u
= 17 u
= 17 x 40
= 680

Answer(s): 680