¹₅ of the number of chickens that Farmer Luke had was equal to ²₅ of the number of chickens that Farmer Julian had. When Farmer Luke sold 300 of his chickens and Farmer Julian bought another 40, the ratio of the number of chickens that Farmer Luke had to the number of chickens Farmer Julian had become 5 : 3. What was the total number of chickens that the 2 farmers had at first?

	Make p the same (1) x 3 = (3)	Farmer Luke (1)	Farmer Julian (2)	Make p the same (2) x 5 = (4)
Before	30 u	10 u	5 u	25 u
Change	- 900	- 300	+ 40	+ 200
After	15 p	5 p	3 p	15 p

Make the numerators the same.
1x25x2 Farmer Luke's chickens = 2x15x1 Farmer Julian's chickens
210 Farmer Luke's chickens = 25 Farmer Julian's chickens

30 u - 900 = 25 u + 200
30 u - 25 u = 200 + 900
5 u = 1100

1 u = 1100 ÷ 5 = 220

Total number of chickens that the 2 farmers had
= 10 u + 5 u
= 15 u
= 15 x 220
= 3300

Answer(s): 3300