Question

Gomez has 30 cans of regular soda and 18 cans of diet soda. He wants to create some identical refreshment tables that will operate during the football game. He also doesn’t want to have any sodas left over. What is the greatest number of refreshment tables that Gomez can stock?

Answer 1

Answer: 6

Explanation:

Given: Gomez has 30 cans of regular soda and 18 cans of diet soda.

He wants to create some identical refreshment tables that will operate during the football game and doesn't want any sodas left over.

Then, the greatest number of refreshment tables that Gomez can stock = GCD (30,18).

Since, 30= 2 x 5 x x 3

18= 2 x 3 x 3

GCD (30,18) = 2 x 3 = 6

Hence, the greatest number of refreshment tables that Gomez can stock is 6.