Question

The Sweet Shop has 24 pounds of fudge, 36 pounds of nuts, and 144 pounds if lollipops.• The Sweet Shop will ship out boxes containing all 3 items.• Each box will have the same amount of fudge, the same amount of nuts, and the same amount of lollipops.What is the maximum number of boxes the Sweet Shop can ship out?

Answer 1

Answer: Maximum number of boxes = 24

Explanations:

Pounds of fudge = 24

Pounds of nuts = 36

Pounds of lollipops = 144

Since the three boxes to be sent by the shop has to possess the same amount of boxes. This means that each box can contain from 1 to 24 of each of the three items.

In order to ship out the maximum number of boxes. The boxes must have the minimum number of equal contents.

This means that each of the boxes will contain 1 pound of each item. There will not be equality in amount again as soon as the 24 pounds of fudge get exhausted.

Therefore, the maximum number of boxes that can be shipped is 24

Note that there will still be 12 pounds of nuts and 120 pounds of lollipops remaining, but they can't be put into any box for shipping since there are no pounds of fudge left to put.