A production statistic shows that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens are needed to produce 24 eggs in 24 hours?
8 chickens are needed to produce 24 eggs in 24 hours.
To determine the number of chickens required to produce 24 eggs in 24 hours, we first establish the rate of egg production per chicken. Since 2 chickens produce 6 eggs in 24 hours, each chicken produces 3 eggs in that time frame. Therefore, to produce 24 eggs, we need a total of 8 chickens.
If only 3 chickens were used, they would produce 9 eggs in 24 hours (3 eggs per chicken). This quantity is insufficient to meet the target of 24 eggs, thus making this option incorrect.
This is the correct answer. With each chicken producing 3 eggs in 24 hours, 8 chickens would collectively produce 24 eggs (8 chickens x 3 eggs per chicken), fulfilling the requirement.
Although 12 chickens would produce 36 eggs in 24 hours (12 chickens x 3 eggs), which exceeds the requirement, it is not the most efficient number of chickens needed to produce exactly 24 eggs. Hence, this option is not correct.
Using 4 chickens would result in 12 eggs produced in 24 hours (4 chickens x 3 eggs per chicken), which is again not enough to reach the target of 24 eggs. Thus, this option is incorrect.
To produce 24 eggs in 24 hours, 8 chickens are required, as calculated from the egg production rate established by the original statistic. The other choices either fall short of the target or exceed it unnecessarily, confirming that 8 chickens represent the precise and efficient solution to the problem.
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