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The ratio of freshmen to sophomores to juniors in the room
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Updated on: 05 Aug 2021, 00:22
Updated on: 05 Aug 2021, 00:22
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Question Stats:
70% (02:52) correct
29% (03:20) wrong based on 102 sessions
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There are at least 10 freshmen in a room. The ratio of freshmen to sophomores to juniors in the room is 3 to 5 to 12. 40 percent of the freshman in the room are taking history, 60 percent of the sophomores in the room are taking history, and 36 percent of the total number of freshman, sophomores, and juniors in the room are taking history.
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.
Quantity A |
Quantity B |
The percent of the juniors in the room taking history |
30% |
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.
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The ratio of freshmen to sophomores to juniors in the room
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05 Aug 2021, 00:22
05 Aug 2021, 00:22
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cbrelax wrote:
There are at least 10 freshmen in a room. The ratio of freshmen to sophomores to juniors in the room is 3 to 5 to 12. 40 percent of the freshman in the room are taking history, 60 percent of the sophomores in the room are taking history, and 36 percent of the total number of freshman, sophomores, and juniors in the room are taking history.
Quantity A |
Quantity B |
The percent of the juniors in the room taking history |
30% |
F : S : J = 3x : 5x : 12x
Total students = 20x
Freshman in the room taking history = 0.4(3x) = 1.2x
Sophomores in the room taking history = 0.6(5x) = 3x
Juniors in the room taking history = a (let)
Total students in the room taking history = 0.36(20x) = 7.2x
Now, 7.2x = 1.2x + 3x + a
a = 3x
Col. A: \(\frac{3x}{12x}(100) = 25\)%
Col. B: \(30\)%
Hence, option B
Re: The ratio of freshmen to sophomores to juniors in the room
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05 Aug 2021, 00:22
05 Aug 2021, 00:22
Expert Reply
Please add always the answer choices to a QCQ questions
Good question
Good question
