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Clarice, Yolanta, and Albert have among them some chocolates
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13 Aug 2020, 01:32
13 Aug 2020, 01:32
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Question Stats:
51% (02:24) correct
48% (02:06) wrong based on 120 sessions
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Clarice, Yolanta, and Albert have among them some chocolates. One of them has triple the chocolates of another. Yolanta has 24 percent of the chocolates.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
KUDOS for the right solution and explanation
Quantity A |
Quantity B |
The number of chocolates Albert has if Clarice has more chocolates than Yolanta |
The number of chocolates Clarice has if Yolanta has more chocolates than Albert |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
KUDOS for the right solution and explanation
Re: Clarice, Yolanta, and Albert have among them some chocolates
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14 Aug 2020, 13:31
14 Aug 2020, 13:31
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I agree with the answer but you must be careful because that is NOT the only case. It doesn't say who has triple the other. Y with 24 could have triple someone with 8, and the remainder would be 68. Or either C or A could have triple of Y, which is 72, and the remainder would be 4. So there are three possible distributions: 1) 19-24-57; 2) 8-24-68; and 3) 4-24-72. Note that 24 is always the middle value.
The number of chocolates Albert has if Clarice has more chocolates than Yolanta:
1) Clarice has 57, Albert has 19.
2) Clarice has 68, Albert has 8.
3) Clarice has 72, Albert has 4.
The number of chocolates Clarice has if Yolanta has more chocolates than Albert:
1) Albert has 19, Clarice has 57.
2) Albert has 8, Clarice has 68.
3) Albert has 4, Clarice has 72.
Here it is clear that choice A always picks the lowest amount, since Yolanta will always have the middle value and Clarice has even more. Choice B always picks the highest amount, since, again, Yolanta will have the middle value and Albert will have less. That only leaves the highest value. Although it works here for any of the possible distributions, a different question may not work so well.
The number of chocolates Albert has if Clarice has more chocolates than Yolanta:
1) Clarice has 57, Albert has 19.
2) Clarice has 68, Albert has 8.
3) Clarice has 72, Albert has 4.
The number of chocolates Clarice has if Yolanta has more chocolates than Albert:
1) Albert has 19, Clarice has 57.
2) Albert has 8, Clarice has 68.
3) Albert has 4, Clarice has 72.
Here it is clear that choice A always picks the lowest amount, since Yolanta will always have the middle value and Clarice has even more. Choice B always picks the highest amount, since, again, Yolanta will have the middle value and Albert will have less. That only leaves the highest value. Although it works here for any of the possible distributions, a different question may not work so well.
chacinluis wrote:
Let the number of chocolates be 100
Yolanta has 24% of the chocolates.
So Yolanata has (.24)(100)= 24 chocolates
The remaining number of chocolates is 100-24=76
The other two people have chocolates in a ratio of 1:3
76/4=19
So one of the them will have 19 chocolates, the other will have 76-19= 57 chocolates
Option A says:
Clarice has more chocolates than Yolanta.
Therefore Clarice must have 57 chocolates and
Albert has 19 chocolates
Option B says:
Yolanta has more chocolates than Albert
Therefore Albert must have 19 chocolates
Clarice has 57 chocolates
Since 19<57
Final Answer: B
Yolanta has 24% of the chocolates.
So Yolanata has (.24)(100)= 24 chocolates
The remaining number of chocolates is 100-24=76
The other two people have chocolates in a ratio of 1:3
76/4=19
So one of the them will have 19 chocolates, the other will have 76-19= 57 chocolates
Option A says:
Clarice has more chocolates than Yolanta.
Therefore Clarice must have 57 chocolates and
Albert has 19 chocolates
Option B says:
Yolanta has more chocolates than Albert
Therefore Albert must have 19 chocolates
Clarice has 57 chocolates
Since 19<57
Final Answer: B
General Discussion
Re: Clarice, Yolanta, and Albert have among them some chocolates
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13 Aug 2020, 13:45
13 Aug 2020, 13:45
1
Let the number of chocolates be 100
Yolanta has 24% of the chocolates.
So Yolanata has (.24)(100)= 24 chocolates
The remaining number of chocolates is 100-24=76
The other two people have chocolates in a ratio of 1:3
76/4=19
So one of the them will have 19 chocolates, the other will have 76-19= 57 chocolates
Option A says:
Clarice has more chocolates than Yolanta.
Therefore Clarice must have 57 chocolates and
Albert has 19 chocolates
Option B says:
Yolanta has more chocolates than Albert
Therefore Albert must have 19 chocolates
Clarice has 57 chocolates
Since 19<57
Final Answer: B
Yolanta has 24% of the chocolates.
So Yolanata has (.24)(100)= 24 chocolates
The remaining number of chocolates is 100-24=76
The other two people have chocolates in a ratio of 1:3
76/4=19
So one of the them will have 19 chocolates, the other will have 76-19= 57 chocolates
Option A says:
Clarice has more chocolates than Yolanta.
Therefore Clarice must have 57 chocolates and
Albert has 19 chocolates
Option B says:
Yolanta has more chocolates than Albert
Therefore Albert must have 19 chocolates
Clarice has 57 chocolates
Since 19<57
Final Answer: B
