Day Shift and Night Shift

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Of the 50 members of a staff, 40 percent worked the day shift and the remaining 60 percent worked the night shift in a given week. Of the staff members, 80 percent prefer working the day shift and the remaining 20 percent prefer working the night shift. What is the minimum number of staff members who failed to receive his or her preference of shift that week?

Review: Day Shift and Night Shift


Explanation

We're talking about two shifts here. In the given week, we have:

Staff

50

Day shift

0.4(50) = 20

Night shift

30



We want to know the minimum number of people who didn't get their preferences this week. We can calculate how many people prefer each shift:

Staff

50

Prefer day shift

0.8(50) = 40

Prefer night shift

10



The minimum of people not getting their preferences will also be the situation in which the maximum do get their preference. So, say all 20 people who worked day shift preferred it. That leaves 40 - 20 = 20 people who prefer the night shift who didn't get it. And there are 10 people left in the group of 50, but they worked the night shift and 10 people prefer the night shift, so those 10 got their preference. Therefore, 20 people didn't get their preference.

The correct answer is (C).


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