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Dennis is packing 108 pens ,80 books and96 note pads into boxes. He wants to pack an equal number of pens books and note pads in each box . Find the greatest number of boxes that Dennis can pack the items into

Respuesta :

Hello there, my fellow human being!

The first thing we need to do is work out the highest common factor of 108, 80, and 96.

  108                                      80                              96
1 x 108                               1 x 80                        1 x 96
2 x 54                                 2 x 40                        2 x 48
3 x 36                                 4 x 20                        3 x 32
4 x 27                                 8 x 10                        4 x 24
6 x 18                                                                   6 x 16
9 x 12                                                                   8 x 12

So, the common factors are 1, 2 and 4
The highest common factor (HCF) is 4.

The greatest number of box used is 4 boxes and the number of each item in each box is...
Pens - 108/4 = 27 pens
Books - 80/4 = 20 books
Notepads - 96/4 = 24 notepads.

Hope this helped!
~Ruru

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