¹₂ of the number of chickens that Farmer Vaidev had was equal to ³₄ of the number of chickens that Farmer Bobby had. When Farmer Vaidev sold 300 of his chickens and Farmer Bobby bought another 40, the ratio of the number of chickens that Farmer Vaidev had to the number of chickens Farmer Bobby had become 4 : 3. What was the total number of chickens that the 2 farmers had at first?

	Make p the same (1) x 3 = (3)	Farmer Vaidev (1)	Farmer Bobby (2)	Make p the same (2) x 4 = (4)
Before	18 u	6 u	4 u	16 u
Change	- 900	- 300	+ 40	+ 160
After	12 p	4 p	3 p	12 p

Make the numerators the same.
1x32x3 Farmer Vaidev's chickens = 3x14x1 Farmer Bobby's chickens
36 Farmer Vaidev's chickens = 34 Farmer Bobby's chickens

18 u - 900 = 16 u + 160
18 u - 16 u = 160 + 900
2 u = 1060

1 u = 1060 ÷ 2 = 530

Total number of chickens that the 2 farmers had
= 6 u + 4 u
= 10 u
= 10 x 530
= 5300

Answer(s): 5300