Dennis is packing 108 pens, 80 books, 96 notepads into a boxes. He wants to pack an equal amount of each in each box find the greatest number of boxes and the amount in each box.

Respuesta :

Work out the highest common factor of 108, 80, and 96

108                             80                           96

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

The common factors are = 1, 2, and 4
The Highest Common Factor is 4

The greatest number of box used is 4 boxes
The number of each item in each box is

Pens ⇒ 108÷4 = 27 pens
Books ⇒ 80÷4 = 20 books
Notepads ⇒ 96÷4 = 24 notepads
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