¹₄ of the number of chickens that Farmer Justin had was equal to ³₅ of the number of chickens that Farmer Bryan had. When Farmer Justin sold 300 of his chickens and Farmer Bryan bought another 40, the ratio of the number of chickens that Farmer Justin had to the number of chickens Farmer Bryan had become 3 : 5. What was the total number of chickens that the 2 farmers had at first?

	Make p the same (1) x 5 = (3)	Farmer Justin (1)	Farmer Bryan (2)	Make p the same (2) x 3 = (4)
Before	60 u	12 u	5 u	15 u
Change	- 1500	- 300	+ 40	+ 120
After	15 p	3 p	5 p	15 p

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

60 u - 1500 = 15 u + 120
60 u - 15 u = 120 + 1500
45 u = 1620

1 u = 1620 ÷ 45 = 36

Total number of chickens that the 2 farmers had
= 12 u + 5 u
= 17 u
= 17 x 36
= 612

Answer(s): 612