Question

x= -17/18If 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?

Answer 1

• 9 bags

Explanation:

Identical bags should have both blue and yellow marbles inside.

Also each color should be divisible by the number of bags.

It becomes a question of finding the greatest common factor of 54 and 99.

Prime factors of both numbers:

• 54 = 2*3*3*3
• 99 = 3*3*11

Find the GCF:

• GCF(54, 99) = 3*3 = 9

The greatest number of bags is 9.