Final answer:
To find out how many boxes Marta needs to pack 1528 mugs, with 6 mugs per box, divide 1528 by 6, which gives 254.666.... Since Marta can't pack a fraction of a mug, she rounds up to the next whole number, meaning she needs 255 boxes.
Step-by-step explanation:
The student's question is about determining the number of boxes needed to pack a certain amount of mugs. Marta can pack up to 6 mugs in each box, and she needs to pack 1528 mugs. To find the number of boxes she needs, we divide the total number of mugs by the number of mugs that each box can hold.
Step-by-step calculation:
- Divide 1528 mugs by 6 mugs per box to find the total number of boxes needed.
- 1528 mugs 6 mugs per box = 254.666...
- Since Marta cannot use a fraction of a box, she needs to round up to the next whole number.
- Therefore, Marta needs 255 boxes to pack all 1528 mugs.
The proper mathematical operation for this problem is division followed by rounding up, also known as the ceiling function in mathematics.