Multiple choice

The average weight of 50 sugar cubes is 5 grams. If the weight of the carry bag is included, then the average weight increases by 0.05 g. What is the weight of the bag?

  1. 6.55 g

  2. 7.33 g

  3. 7.44 g

  4. 7.55 g

  5. 8.55 g
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total weight of 50 cubes is 50 * 5 = 250g. With the bag, there are 51 items (or the bag is added to the total weight). The new average is 5.05g. Total weight = 51 * 5.05 = 257.55g. The bag weight is 257.55 - 250 = 7.55g.

AI explanation

The total weight of the 50 sugar cubes is 50 times 5, giving 250 grams. The new average weight becomes 5.05 grams, so the combined weight of the cubes and the carry bag is 51 times 5.05, which equals 257.55 grams. The weight of the bag is found by subtracting the cubes' total weight from this combined weight, yielding 7.55 grams.

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