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31 Mar 2026, 09:12
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
62% (03:15) correct
38%
(03:02)
wrong
based on 71
sessions
History
Date
Time
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Not Attempted Yet
In an online coding course, the number of female students increased by 10 percent from the first semester to the second, and the number of male students increased by 22 percent. If the difference between the numbers of female and male students remained the same, by what percent did the total number of students increase from the first semester to the second?
(A) 10 3/4%
(B) 11%
(C) 11 3/8%
(D) 12%
(E) 13 3/4%
(A) 10 3/4%
(B) 11%
(C) 11 3/8%
(D) 12%
(E) 13 3/4%
31 Mar 2026, 11:22
Kudos
Bookmarks
Let number of female students in first semester = F, number of male students in first semester, M = F - x
Number of female students in second semester = 1.1F, number of male students in second semester = (F - x)(1.22)
We know the difference between female students and male students in both semesters is the same.
Therefore: F - (F - x) = 1.1F - (F - x)(1.22)
= x = 1.1F - 1.22F + 1.22x
= x = -0.12F + 1.22x
= (-0.22)x = -0.12F
= x = 6/11*F
Putting value of x in the number of male students in the first semester we get, M = F - 6/11*F = 5/11*F
Now to find the percentage by which the number of students in total increased:
(F(1.1) + 5F/11(1.22) - F - 5F/11) - (F - 5F/11))/ (F + 5F/11)
= ((0.1)F + (0.22)5F/11)/(16F/11)
=((0.1)F + (0.1)F)/(16F/11)
=(0.2F)/(16F/11)
=2.2/16
=0.1375
Multiplying by hundred we get 13.75% or 13 3/4% increase, the answer is E
Number of female students in second semester = 1.1F, number of male students in second semester = (F - x)(1.22)
We know the difference between female students and male students in both semesters is the same.
Therefore: F - (F - x) = 1.1F - (F - x)(1.22)
= x = 1.1F - 1.22F + 1.22x
= x = -0.12F + 1.22x
= (-0.22)x = -0.12F
= x = 6/11*F
Putting value of x in the number of male students in the first semester we get, M = F - 6/11*F = 5/11*F
Now to find the percentage by which the number of students in total increased:
(F(1.1) + 5F/11(1.22) - F - 5F/11) - (F - 5F/11))/ (F + 5F/11)
= ((0.1)F + (0.22)5F/11)/(16F/11)
=((0.1)F + (0.1)F)/(16F/11)
=(0.2F)/(16F/11)
=2.2/16
=0.1375
Multiplying by hundred we get 13.75% or 13 3/4% increase, the answer is E
