A Fruit production company has three packaging facilities, each of which uses different sized boxes as follows: 36 pieces/box, 20 pieces/ box, and 28 pieces/ box. Assuming each facility will receive the same amount of fruit, how many boxes will each facility package?

\frac{F}{36}, \frac{F}{28} ,\frac{F}{20}36F,28F,20F respectively

Step-by-step explanation:

From the question we are told that

Facility A =36 pieces/box

Facility B =28 pieces/box

Facility C =20 pieces/box

Let the Fruit received be F

Generally the Facility A's number of boxes is mathematically given by

36 pieces=1 box36pieces=1box

Total Pieces=F

Therefore

Facility A's total amount of box = F/36

Generally the Facility B's number of boxes is mathematically given by

28pieces=1box28pieces=1box

Therefore

Facility B's total amount of box = F/28

Generally the Facility C's number of boxes is mathematically given by

20pieces=1box20pieces=1box

Therefore

Facility C's total amount of box = F/20

Therefore

Each Facility will make us of \frac{F}{36}, \frac{F}{28} ,\frac{F}{20}36F,28F,20F respectively in packing there allocated Fruit.

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