At a certain college, 50 percent of the total number of students are

Question

At a certain college, 50 percent of the total number of students are freshmen. If 20 percent of the fresh-men are enrolled in the school of liberal arts and, of these, 30 percent are psychology majors, what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?

(A) 3%
(B) 6%
(C) 12%
(D) 15%
(E) 20%

(A) 3%
(B) 6%
(C) 12% 
(D) 15%
(E) 20%

BrentGMATPrepNow · Accepted Answer

Let's say there is a TOTAL of  100  students at this college.

50 percent of the total number of students are freshmen.   
# of freshmen = 50% of 100 =  50

20 percent of the fresh-men are enrolled in the school of liberal arts...   
Number of liberal arts freshmen = 20% of  50  =  10

...and, of these, 30 percent are psychology majors...  
Number of liberal arts freshmen who are psychology majors = 30% of  10  =  3

What percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?  
  3 / 100   = 3%

Answer: A

Cheers,
Brent

rhine29388 · Answer

consider total number of students as 100
freshman students are 50% = 50 students
freshman enrolled in liberal arts = 20% of 50 = 10 students
freshman enrolled in liberal arts for psychology majors = 30 % of 10 = 3 students
percent of students at college who are freshmen psychology majors enrolled in the school of liberal arts = (3/100) * 100 = 3%
correct answer option A

mathiaskeul · Answer

(1/2)x are freshman and of these, (2/5)(1/2)x are liberal arts students. Plugging in for 100, this gives you
(1/2)100(2/5)=10 students 
Of these 10, 30% or 0.3 are psych majors, which gives 3 and is 3% of the total number of students (100)

ScottTargetTestPrep · Answer

We can let the total number of students = 1200.

Thus, 600 are freshman, 0.2 x 600 = 120 freshmen are enrolled in liberal arts, and of these, 120 x 0.3 = 36 are psychology majors.

Thus, 36/1200 = 0.03 = 3% are freshmen psychology majors who are enrolled in the school of liberal arts.

Answer: A

dpkpndy · Answer

Solution: 30% of 20% of 50% of total no of students are freshmen enrolled in Psychology majors.

This implies: (30/100)*(20/100)*(50/100)* T = (3/100)*T = 3%

At a certain college, 50 percent of the total number of students are

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At a certain college, 50 percent of the total number of students are

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