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05 Oct 2021, 07:15
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D
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Difficulty:
5%
(low)
Question Stats:
89% (00:37) correct
11%
(01:16)
wrong
based on 44
sessions
History
Date
Time
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Not Attempted Yet
A class of students contains only freshmen and sophomores. If 18 of the students are sophomores, and if the ratio of the number of freshmen to the number of sophomores in the class is 5:3, how many students are in the class?
(A) 30
(B) 36
(C) 40
(D) 48
(E) 56
(A) 30
(B) 36
(C) 40
(D) 48
(E) 56
05 Oct 2021, 07:36
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Bunuel
We can solve this question using equivalent ratios
Given: (# of freshman)/(# of sophomores) = 5/3
Since 18 of the students are sophomores, we can write: (# of freshman)/(18) = 5/3
Cross multiply to get: (3)(# of freshman) = (5)(18)
Simplify: (3)(# of freshman) = 90
Solve: # of freshman = 30
So there are 18 sophomores and 30 freshmen, which means the total number of students = 18 + 30 = 48
Answer: D
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05 Oct 2021, 07:42
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Correct Option D
Freshmen student = 48
Posted from my mobile device
Freshmen student = 48
Posted from my mobile device
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