BTGmoderatorDC wrote: ↑Tue Feb 11, 2020 8:10 pm
At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their shifts. At the same time, 70% of the interns who receive 6 or more hours of sleep report no feelings of tiredness. If 80% of the interns receive fewer than 6 hours of sleep, what percent of the interns report no feelings of tiredness during their shifts?
A. 6
B. 14
C. 19
D. 20
E. 81
OA
C
Source: Manhattan Prep
Since 80% of the interns receive fewer than 6 hours of sleep, it means that 20% of the interns receive 6 or more hours of sleep.
Percent of interns who receive 6 or more hours of sleep and feel tired = (100 – 70)% of 20% = 30% of 20% = 6%;
We already know that 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their shifts.
Thus, percent of the interns report tiredness during their shifts = 6 + 75 = 81%
Thus, percent of the interns report no feeling of tiredness during their shifts = 100 – 81 = 19%
The correct answer:
C
Hope this helps!
-Jay
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