Multiple choice

Directions: Select the correct alternative from the given choices. If the average weight of a group of 15 items is 30 kg and none of the items weighs more than 32 kg, find the least possible weight (in kg) of any item in the group.

  1. 2

  2. 4

  3. 3

  4. 0
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

To minimize one item, maximize the others. If 14 items are at the maximum weight of 32 kg, their sum is 14 * 32 = 448. The total sum for 15 items is 15 * 30 = 450. The remaining item must be 450 - 448 = 2 kg.

AI explanation

The total weight of the 15 items is found using the average formula: 15 * 30 = 450 kg. To find the least possible weight of a single item, we must maximize the weights of the other 14 items, so we set them to the given maximum of 32 kg each. The total weight of these 14 items is 14 * 32 = 448 kg. The least possible weight of the remaining item is the total weight minus the weight of the 14 heaviest items: 450 - 448 = 2 kg.

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