¹₅ of the number of chickens that Farmer Tim had was equal to ⁶₇ of the number of chickens that Farmer Henry had. When Farmer Tim sold 300 of his chickens and Farmer Henry bought another 40, the ratio of the number of chickens that Farmer Tim had to the number of chickens Farmer Henry had become 7 : 2. What was the total number of chickens that the 2 farmers had at first?

	Make p the same (1) x 2 = (3)	Farmer Tim (1)	Farmer Henry (2)	Make p the same (2) x 7 = (4)
Before	60 u	30 u	7 u	49 u
Change	- 600	- 300	+ 40	+ 280
After	14 p	7 p	2 p	14 p

Make the numerators the same.
1x65x6 Farmer Tim's chickens = 6x17x1 Farmer Henry's chickens
630 Farmer Tim's chickens = 67 Farmer Henry's chickens

60 u - 600 = 49 u + 280
60 u - 49 u = 280 + 600
11 u = 880

1 u = 880 ÷ 11 = 80

Total number of chickens that the 2 farmers had
= 30 u + 7 u
= 37 u
= 37 x 80
= 2960

Answer(s): 2960