At a delivery store, seven packages have an average (arithmetic mean) weight of 222 kg and a median weight of 270 kg. What is the maximum possible weight, in kilograms, of the lightest package?
Correct answer: A
Explanation
In order to maximize the weight of the lightest package, assume that the four heaviest packages are equal to the median weight, and the three lightest packages are equal to each other in weight.
Let x be the weight of the lightest package.
3x + 4(270) = 7(222)
3x = 474
x = 158 kg
The answer is A.
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