In a farm, 40% of the birds are chickens. If 20% of the chickens are sold, by what percentage has the total number of birds decreased?

ArithmeticPercentageWord ProblemProportions
2025/4/23

1. Problem Description

In a farm, 40% of the birds are chickens. If 20% of the chickens are sold, by what percentage has the total number of birds decreased?

2. Solution Steps

Let the total number of birds be TT.
The number of chickens is 0.40T0.40T.
The number of chickens sold is 20%20\% of the chickens, which is 0.20×0.40T=0.08T0.20 \times 0.40T = 0.08T.
The total number of birds decreased by 0.08T0.08T.
The percentage decrease in the number of birds is
0.08TT×100%=0.08×100%=8%\frac{0.08T}{T} \times 100\% = 0.08 \times 100\% = 8\%.

3. Final Answer

The percentage decrease in the number of birds is 8%.
The answer is C) 8%.

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