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30 Nov 2018, 06:04
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Difficulty:
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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
(A) 7
(B) 6
(C) 5
(D) 4
(E) 3
30 Nov 2018, 21:03
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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
Answer = 5 (C)(A) 7
(B) 6
(C) 5
(D) 4
(E) 3
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".
General Discussion
01 Dec 2018, 00:57
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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?
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.
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.
