A bakery makes three types of muffins to be distributed to local grocery stores: chocolate chip,
Blueberry, and banana nut. Each morning, the bakers produce 120 chocolate chip muffins, 80
Blueberry muffins, and 80 banana nut. They want to package the muffins efficiently for shipping.
The plan is to pack them in boxes so that every box has just one kind of muffin, and every box has
The same number of muffins. What's the smallest number of boxes they can ship in total?
A)280 boxes
B)2 boxes
C)40 boxes
D)7 boxes

Question

Quizplus · Accepted Answer

To find out the smallest number of boxes needed to pack muffins efficiently for shipping, we need to find the greatest common factor (GCF) of the three quantities of muffins produced. GCF of 120, 80, and 80 is 40. Therefore, each box will contain 40 muffins of one type.

The number of boxes needed for chocolate chip muffins = 120/40 = 3
The number of boxes needed for blueberry muffins = 80/40 = 2
The number of boxes needed for banana nut muffins = 80/40 = 2

Thus, the total number of boxes needed = 3+2+2 = 7 boxes. Therefore, the answer is D.

A Bakery Makes Three Types of Muffins to Be Distributed