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Of the final grades received by the students in a certain
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26 Dec 2012, 07:04
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94% (00:56) correct 6% (01:12) wrong based on 980 sessions
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Of the final grades received by the students in a certain math course, 1/5 are A's, 1/4 are B's, 1/2 are C's, and the remaining 10 grades are D's. What is the number of students in the course?
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26 Dec 2012, 07:08
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Walkabout wrote:
Of the final grades received by the students in a certain math course, 1/5 are A's, 1/4 are B's, 1/2 are C's, and the remaining 10 grades are D's. What is the number of students in the course?
(A) 80 (B) 110 (C) 160 (D) 200 (E) 400
1/5+1/4+1/2=19/20 of the grades are A, B, or C.
Thus the remaining 10 grades represent 1/20 of the grades. Theretofore there are 20*10=200 students.
Of the final grades received by the students in a certain
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20 Jan 2015, 05:04
I guess the more staightforward way to do this is giving a variable for the total number of students, say T:
Then: (1/5)T + (1/4)T + (1/2)T + 10 = T T/5 + T/4 + T/2 + 10 = T (4T + 5T + 10T) / 20 = T - 10 --> we multiplied with the LCM and moved 10 to the other side. 19T = 20 (T - 10) 19T = 20T - 200 T = 200, ANS D
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20 May 2015, 12:44
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I would rather use decimals for this question. Grades A:0,2, B:0,25, C:0,5 and the remaining(0,2+0,25+0,5=0,95) 0,05*X=10 --> So, X=200 (D)
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22 May 2015, 23:33
Hi All,
This question can also be solved by TESTing THE ANSWERS.
We're given data on the "breakdown" of grades in a course: 1/5 are A's, 1/4 are B's, 1/2 are C's, and the remaining 10 grades are D's. We're asked for the total number of students in the course.
Let's TEST Answer C: 160 students
Total = 160 1/5 are A's = 32 1/4 are B's = 40 1/2 are C's = 80 Sub-total = 152, which leaves 8 students with D's. This is TOO LOW (there are supposed to be 10 students with D's). Thus we need MORE total students. Eliminate Answers A, B and C.
Since 8 is relatively close to 10, we probably don't need that many more students, so let's TEST D next....
Answer D: 200 students
Total = 200 1/5 are A's = 40 1/4 are B's = 50 1/2 are C's = 100 Sub-total = 190, leaving 10 for D's. This is a MATCH for what we were told, so this MUST be the answer.
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05 Jul 2016, 06:13
Walkabout wrote:
Of the final grades received by the students in a certain math course, 1/5 are A's, 1/4 are B's, 1/2 are C's, and the remaining 10 grades are D's. What is the number of students in the course?
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07 Jul 2016, 10:17
Walkabout wrote:
Of the final grades received by the students in a certain math course, 1/5 are A's, 1/4 are B's, 1/2 are C's, and the remaining 10 grades are D's. What is the number of students in the course?
(A) 80 (B) 110 (C) 160 (D) 200 (E) 400
We start by creating a variable for the total number of students in the math course. We can say:
T = Total number of students in the math course
Next, we can use variable T in an equation that we translate from the given information. We are given that, of the final grades received by the students in a certain math course, 1/5 are A's, 1/4 are B's, 1/2 are C's, and the remaining 10 grades are D's. Since this represents all the grades in the class, it represents all the students in the class. Thus we know:
#A’s + #B’s + #C’s + #D’s = Total number of students in the class
1/5(T) + ¼(T) + ½(T) + 10 = T
We can multiply the entire equation by 20 to cancel out the denominators of the fractions and we have:
4T + 5T + 10T + 200 = 20T
19T + 200 = 20T
200 = T
There are a total of 200 students in the math class.
Answer is D.
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