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A class contains 120 students, each of whom is either a part-time stud

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A class contains 120 students, each of whom is either a part-time stud  [#permalink]

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New post 26 Nov 2018, 23:36
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93% (01:08) correct 7% (01:02) wrong based on 33 sessions

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A class contains 120 students, each of whom is either a part-time student or a full-time student. If a student is to be selected at random from the class, then the probability that the student will be a part-time student is 2/5. How many of the students in the class are full-time students?

A. 24
B. 48
C. 60
D. 72
E. 96

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Re: A class contains 120 students, each of whom is either a part-time stud  [#permalink]

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New post 27 Nov 2018, 00:12
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The probability of full time students is 3/5.

Therefore Number of students =3/5*120 = 72.

To cross check, now select one full time from total.
Probability will be = 72/120 = 3/5

Hence you can be sure that answer is 72. IMO D.
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Re: A class contains 120 students, each of whom is either a part-time stud  [#permalink]

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New post 27 Nov 2018, 08:33
Bunuel wrote:
A class contains 120 students, each of whom is either a part-time student or a full-time student. If a student is to be selected at random from the class, then the probability that the student will be a part-time student is 2/5. How many of the students in the class are full-time students?

A. 24
B. 48
C. 60
D. 72
E. 96



PT+ FT= 120

PT/120= 2/5

PT= 48
FT= 120-48 = option D 72
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Re: A class contains 120 students, each of whom is either a part-time stud   [#permalink] 27 Nov 2018, 08:33
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A class contains 120 students, each of whom is either a part-time stud

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