Question

There are 18 donuts 24 bagels and 20 muffins a.what is the largest possible number of boxes of pastries packed
B. How many pieces of each pastry are packed into each box

Answer 1

Donuts = 18

Bagels = 24

Muffins = 20

Find the Prime factors:

18 = 2 x 3²

24 = 2³ x 3

20 = 2² x 5

Find the HCF:

HCF = 2

Answer (a) : The pasties can be packed into 2 equal boxes.

* Assuming that there must be more than 1 box

Donuts = 18 ÷ 2 = 9

Bagels = 24 ÷ 2 = 12

Muffins = 20 ÷ 2 = 10

Answer (b): There are 9 donuts, 20 bagels and 10 muffins in each box.