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25 Aug 2011, 22:33
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Difficulty:
35%
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Question Stats:
73% (02:21) correct
27%
(02:16)
wrong
based on 374
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Date
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Several students are studying together for an exam. 60% of the students who studied less than 10 hours a week feel unprepared. 80% of students who studied 10 hours or more each week feel prepared. If 75% of the students studied less than 10 hours per week, what percent of the students feel prepared for the exam?
A. 20
B. 25
C. 30
D. 35
E. 50
A. 20
B. 25
C. 30
D. 35
E. 50
25 Aug 2011, 22:46
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I tackled this problem by doing this:
<10hr: Unprepped 60%
Prepped 40%
percent of total = 75%
>10hr:Unprepped 20%
Prepped 80%
% of total = 25%
total prepped% = 0.75*40+ 0.25*80 = 50%
so therefore, 50% of all students feel prepped.
in other words, lets say there are 100 students.
<10hrs = 75 (45 unprep, 30 prep)
>10hrs = 25 (5 unprep, 20 prep)
total 50 prepped, 50 unprepped.
but 50% is not an option?
<10hr: Unprepped 60%
Prepped 40%
percent of total = 75%
>10hr:Unprepped 20%
Prepped 80%
% of total = 25%
total prepped% = 0.75*40+ 0.25*80 = 50%
so therefore, 50% of all students feel prepped.
in other words, lets say there are 100 students.
<10hrs = 75 (45 unprep, 30 prep)
>10hrs = 25 (5 unprep, 20 prep)
total 50 prepped, 50 unprepped.
but 50% is not an option?
