Question

A teacher is making treat bags with candy eggs. She wants all of the bags to be exactly the same with an equal amount of each color in the bags. There are 24 blue eggs, 18 pink eggs, and 36 yellow eggs. Using all of the candy eggs, how many treat bags can the teacher make?

Question 9 options:

5 treat bags


6 treat bags


12 treat bags


18 treat bags

Answer 1

The teacher can make 6 treat bags using the greatest common divisor method, resulting in each bag having equal amounts of each colored egg. Therefore correct option is B

Step-by-step explanation:

To determine how many treat bags the teacher can make using all of the candy eggs with an equal amount of each color in the bags, we need to find the greatest common divisor (GCD) of the quantities of blue, pink, and yellow candy eggs. We have 24 blue eggs, 18 pink eggs, and 36 yellow eggs.

The GCD of 24, 18, and 36 is calculated as follows:

1. First, list the factors of each number:
   24: 1, 2, 3, 4, 6, 8, 12, 24
   18: 1, 2, 3, 6, 9, 18
   36: 1, 2, 3, 4, 6, 9, 12, 18, 36
2. Then, identify the common factors: 1, 2, 3, 6
3. The highest common factor is 6.

Therefore, the teacher can make 6 treat bags, each containing 4 blue eggs, 3 pink eggs, and 6 yellow eggs.