Mr. Rodriguez is packing bags of snacks for his children’s lunchboxes. He plans to use 20 blueberries and 30 grapes. Each snack bag will have the same number of blueberries and grapes. How many bags can he make if each bag needs to be the same?

Question

5 bags
10 bags
50 bags
60 bags

Answer 1

To determine how many bags of snacks Mr. Rodriguez can make, we need to find the greatest common divisor (GCD) of the number of blueberries (20) and the number of grapes (30). The GCD will tell us how many bags he can evenly pack with the same number of blueberries and grapes in each bag.

First, let's find the GCD of 20 and 30:

• The factors of 20 are: 1, 2, 4, 5, 10, 20
• The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

The common factors are 1, 2, 5, and 10. The greatest of these is 10.

This means Mr. Rodriguez can make 10 bags of snacks.

Thus, the answer is:

10 bags