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QOTD#19 A group of freshmen, juniors, and seniors are going
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03 Apr 2017, 03:40
03 Apr 2017, 03:40
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Question Stats:
12% (01:42) correct
88% (02:21) wrong based on 50 sessions
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A group of freshmen, juniors, and seniors are going on a school trip. The number of seniors is 60% of the number of juniors, which is 50% of the number of freshmen. If there are at least 150 students on the trip, then which of the following could be the number of seniors?
Indicate all possible values.
A. 21
B. 22
C. 24
D. 25
E. 27
Indicate all possible values.
A. 21
B. 22
C. 24
D. 25
E. 27
Drill 3
Question: 10
Page: 320
Question: 10
Page: 320
Re: QOTD#19 A group of freshmen, juniors, and seniors are going
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17 Apr 2017, 09:35
17 Apr 2017, 09:35
1
Expert Reply
Explanation
To solve this question, plug in the answers as the number of seniors to see if the rest of the class adds up to 150.
Start with choice C. If S = 24, then \(\frac{60}{100}\) and J = 40; since 40 = 50% of F, then F = 80; since the sum of the students is 24 + 40 + 80 = 144, which is less than 150, try larger numbers and eliminate choices (A), (B), and (C).
For choice D, if S = 25, then \(25 = J \times \frac{60}{100}\), thus there are 41.67 juniors, which is incorrect since it is impossible to have a fraction of a student.
For choice (E), if S = 27, then \(J \times \frac{60}{100}\), thus J = 45; since 45 = 50% of F, then F = 90; since 27 + 45 + 90 = 162, which is at least 160, choice (E) is the only correct answer.
Hence option E is correct!
To solve this question, plug in the answers as the number of seniors to see if the rest of the class adds up to 150.
Start with choice C. If S = 24, then \(\frac{60}{100}\) and J = 40; since 40 = 50% of F, then F = 80; since the sum of the students is 24 + 40 + 80 = 144, which is less than 150, try larger numbers and eliminate choices (A), (B), and (C).
For choice D, if S = 25, then \(25 = J \times \frac{60}{100}\), thus there are 41.67 juniors, which is incorrect since it is impossible to have a fraction of a student.
For choice (E), if S = 27, then \(J \times \frac{60}{100}\), thus J = 45; since 45 = 50% of F, then F = 90; since 27 + 45 + 90 = 162, which is at least 160, choice (E) is the only correct answer.
Hence option E is correct!
Re: QOTD#19 A group of freshmen, juniors, and seniors are going
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15 May 2017, 11:39
15 May 2017, 11:39
2
C is wrong
