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Problem Solving (PS) | Re: x bags of marbles are to be created, each consisting of y red marbles,

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PriyankaPalit7 wrote:

x bags of marbles are to be created, each consisting of y red marbles, z blue marbles, and nothing else. If the marbles are to be drawn from a total of 84 red marbles and 30 blue marbles and all marbles must be placed in one of the bags, what is the maximum number of bags that can be created?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 7


Greatest common factor of 84 and 30 !!

84= 2^2 x 3 x 7
30= 2 x 3 x 5
GCF(84,30)= 2 x 3 = 6
Therefore, answer is D
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