Question

Emily received two separate gifts on her birthday. The first gift contains 6 orange candy bars, while the second gift contains 14 cookies. Emily wants to make identical snack bags for her friends using the orange candy bars and cookies she has.

What is the greatest number of snack bags that Emily can make?

• A. 1
• B. 2
• C. 6
• D. 14

Answer 1

The correct option is B 2

In order to know how many snack bags Emily can make, we need a number that is a factor of 6 and 14, so that the 6 orange candy bars and the 14 cookies can be divided up evenly.

To find the greatest number of identical snack bags, we want to find the greatest common factor of 6 and 14.

The factors of 6 are : 1, 2, 3 and 6
The factors of 14 are : 1, 2, 7 and 14

From the above, the common factors are 1 and 2.
So, the greatest factor among the common factors is 2.

Hence, the greatest number of identical snack bags that Emily can make is 2.
As, 3 × 2 = 6 $\to$ (6 Orange candies)
7 × 2 = 14 $\to$ (14 Cookies)
Then each bag would contain 3 orange candies and 7 cookies