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Three stacks containing equal numbers of chips are to be made from 9

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Three stacks containing equal numbers of chips are to be made from 9  [#permalink]

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New post 30 Nov 2018, 05:04
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Difficulty:

  55% (hard)

Question Stats:

49% (01:13) correct 51% (01:18) wrong based on 51 sessions

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Three stacks containing equal numbers of chips are to be made from 9 red chips, 7 blue chips, and 5 green chips. If all of these chips are used and each stack contains at least 1 chip of each color, what is the maximum number of red chips in any one stack?

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

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Three stacks containing equal numbers of chips are to be made from 9  [#permalink]

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New post 30 Nov 2018, 20:03
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HKD1710 wrote:
Three stacks containing equal numbers of chips are to be made from 9 red chips, 7 blue chips, and 5 green chips. If all of these chips are used and each stack contains at least 1 chip of each color, what is the maximum number of red chips in any one stack?

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

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Answer = 5 (C)

Total chips = 9 + 7 + 5 = 21
So each stack will have 21/3 = 7 chips (stacks containing equal numbers of chips)

Each stack must contain at least 1 chip of each color

If we keep 1 blue chip, 1 green chip and 5 red chips:

1B 1G 5R => total = 7 chips

5 red chips is the maximum number which can be kept in a stack, as it is impossible to insert more than 5 red chips in one stack because the rule will be broken "each stack contains at least 1 chip of each color".
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Re: Three stacks containing equal numbers of chips are to be made from 9  [#permalink]

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New post 30 Nov 2018, 23:57
Three stacks containing equal numbers of chips are to be made from 9 red chips, 7 blue chips, and 5 green chips. If all of these chips are used and each stack contains at least 1 chip of each color, what is the maximum number of red chips in any one stack?

We have 3 stacks. as each stack contains at least 1 chip of each color, we should have at least 1 chip of blue and green in the one stack. We have 9 red chips, thus 9-2 = 7 red chips are the maximum number of red chips.
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Re: Three stacks containing equal numbers of chips are to be made from 9  [#permalink]

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New post 01 Dec 2018, 02:50
IMO 5

its a question of min max -
Step 1 GIVE 1 OF EACH TO EACH STACK- Fulfill the min requirement.

Step 2 -Now as we know each stack can have only 7 chips that means to max the num of red chips in stack 1 minimize the number of blue and green chips ( i.e put them in other stacks ) S1 will have only 1 blue and 1 green chip but since we have to maintain an equal of 7 that means you have to give 5 more chips to stack 1
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Re: Three stacks containing equal numbers of chips are to be made from 9 &nbs [#permalink] 01 Dec 2018, 02:50
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Three stacks containing equal numbers of chips are to be made from 9

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