If a worker packs 105 cases of candles, each containing 12 boxes, how many boxes are packed per minute if this takes 1.5 hours?

To determine how many boxes are packed per minute, start by calculating the total number of boxes packed. If one case contains 12 boxes and the worker packs 105 cases, the total number of boxes can be calculated by multiplying the number of cases by the number of boxes per case:

Total boxes = 105 cases × 12 boxes/case = 1260 boxes.

Next, the time taken for packing is given as 1.5 hours. To find the number of minutes, convert hours into minutes by multiplying the hours by 60:

1.5 hours × 60 minutes/hour = 90 minutes.

Now, to determine the number of boxes packed per minute, divide the total number of boxes by the total time in minutes:

Boxes per minute = Total boxes ÷ Total minutes = 1260 boxes ÷ 90 minutes = 14 boxes per minute.

This calculation shows that the worker packs 14 boxes every minute, which aligns with the reasoning behind selecting this option. The process accurately reflects the conversion of hours into minutes and highlights the need to multiply the cases by the boxes in each case for total quantities. The correct choice reflects the calculations performed.