If you have 54 blue marbles and 99 yellow marbles, what is the greatest number of identical marble bags that can be made without any marbles leftover?

Question

asked Feb 11, 2020 8.8k views

2 Answers

Matyas Koszik · Answer 1 · 2020-02-18T16:29:13+0000

Answer:

The greatest number of bags that can be assembled here is 9.

Explanation:

The first step here is to determine the greatest common factor of 54 and 99.

54 is 2(27) = 2(3^3), and 99 IS 11(3^2), or

54 = 6(9) and 99 = 11(9).

Thus, we could make 9 identical marble bags each containing 6 blue marbles and 11 yellow marbles.