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15 Oct 2019, 21:14
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D
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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
15 Oct 2019, 21:31
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Maximum number of bags that can be created = HCF of 84 & 30 = 6
IMO Option D
IMO Option D
15 Oct 2019, 21:35
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We are to fill x bags consisting each of y red marbles and z blue marbles, given a total of 84 red marbles and a total of 30 blue marbles.
This can be determined by computing the HCF of 84 and 30, and that would be the total number of bags, x.
Factors of 30 {1,2,3,5,6,10,15,30}
Factors of 84 {1,2,3,4,6,7,12,14,21,28,42,81}
Hence HCF is 6.
So there will be total of 6 bags consisting of 14 red marbles and 5 blue marbles.
The answer is D in my view.
Posted from my mobile device
This can be determined by computing the HCF of 84 and 30, and that would be the total number of bags, x.
Factors of 30 {1,2,3,5,6,10,15,30}
Factors of 84 {1,2,3,4,6,7,12,14,21,28,42,81}
Hence HCF is 6.
So there will be total of 6 bags consisting of 14 red marbles and 5 blue marbles.
The answer is D in my view.
Posted from my mobile device
