Huixian needs to pack 171 pens, 63 pencil, and 27 erasers into identical bags so that each item is equally distributed among the gift bags. Find the largest number of gift bags that can be packed, and the number of each item in a gift bag

87 gift bags

6 pens

2 pencils

1 eraser in each gift bag

Most number of Gift Bags = 27.

Step-by-step explanation:

There will be some bags left over. The limiting factor is the erasers. At most, you can have 27 erasers and therefore 27 gift bags.

171 pens: 171/27 = 6 (you have to round down). The number of pens left over is 9.

(27*6 = 162)

171 - 162 = 9

63 Pencils: 63/27 = 2 pencils per gift bag. There will be

63 - 2*27

63 - 54

9 pencils will be left over.