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Emma owns a farm with 40 chickens and has enough food to feed them for 50 days. After 5 days, Emma sold some chickens. The remaining food will last for another 60 days. How many chickens were sold?

Sagot :

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

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