Mathematics
05.05.2021 07:22
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If 1/3 of an office staff is on vacation and 1/4 of those not on vacation are out

If 1/3 of an office staff is on vacation and 1/4 of those not on vacation are out sick, what fraction of the staff is in the office
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19elbatawisaly
19elbatawisaly
4,7(74 marks)
Let x be the total number of staff in the office.

Thus,

The number of staff on vacation = \frac{1}{3} x

Since, it says that staff out sick are among those not on vacation, we have to subtract the number of staff on vacation from the total number of staff.

The number of staff out sick = \frac{1}{4} (x -  \frac{1}{3}x)

Hence,

The number of staff in the office = x -  \frac{1}{3} x -  \frac{1}{4} (x- \frac{1}{3} x) =  (x - \frac{1}{3} x)(1 -  \frac{1}{4} ) 
= x(1-  \frac{1}{3})(1- \frac{1}{4}) = x( \frac{2}{3})( \frac{3}{4}) =  \frac{1}{4} x
dondre54
dondre54
5,0(91 marks)

The midpoint of a line segment is the point in a line segment in which the distance to the left and right is the same.

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