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A shelf in a grocery store supports 112 bags of rice, each bag weighing 2.5 lb. What is the arrangement of the bags in terms of height?

1) The bags are stacked twice as high in the middle as at the two ends
2) The bags are stacked equally high at all positions
3) The bags are stacked higher at the two ends compared to the middle
4) The bags are stacked randomly with no specific pattern

1 Answer

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Final answer:

The bags are stacked higher at the two ends compared to the middle.

Step-by-step explanation:

The arrangement of the bags of rice on the shelf can be determined based on the given information. Since each bag weighs 2.5 lb, the total weight of the bags is 112 bags x 2.5 lb/bag = 280 lb.

1) If the bags are stacked twice as high in the middle as at the two ends, we can divide the bags into three equal sections. Let the height of the bags at the two ends be x, then the height of the bags in the middle would be 2x. The total height of the bags would be 2x + x + 2x = 5x. Therefore, the bags are stacked higher at the two ends compared to the middle.

So, the correct arrangement of the bags in terms of height is option 3) The bags are stacked higher at the two ends compared to the middle.

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