Answer:
Emma sold 10 chickens
Step-by-step explanation:
Initially Emma has 40 chickens and 50 days food supply
We can determine the total units of food as
Number of chickens x number of days
= 40 x 50
= 2000 units of food
After 5 days, the total food consumed
= 40 x 5
= 200 units
Remaining food units
= 2000 - 200
= 1800 units
Let x be the number of chickens sold
Remaining chickens = 40 - x
Remaining food lasts for 60 days
Therefore total food units consumed for 40 - x chickens is
(40 - x) x 60
= 2400 - 60x
This must equal the remaining food for 45 days
Therefore
2400 - 60x = 1800
Subtract 2400 both sides:
-60x = 1800 - 2400
-60x = - 600
Divide by -60 to get
-60x/-60 = -600/-60
x = 10
Therefore Emma sold 10 chickens