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warehouse has three shelves that can hold 8, 12, or 16 skateboards. Each shelf has sections holding the same number of skateboards. What is the greatest number of skateboards that can be put in a section?

warehouse has three shelves that can hold 8 12 or 16 skateboards Each shelf has sections holding the same number of skateboards What is the greatest number of s class=

Respuesta :

The greatest number that can be held in each section is 48 skateboards (16x3)

Answer:

Step-by-step explanation:

We are given that ware house has three shelves that can hold 8, 12 and 16 skateboards.

We have to find the greatest number of skateboards that can be put in a section.

Each shelf has  sections holding the same number of skateboard.

We will find the HCF of 8,12 and 16

[tex]8=2\times 2\times 2[/txe]

[tex]12=2\times 2\times 3[/tex]

[tex]16=2\times 2\times 2\times 2=16[/tex]

HCF=[tex]2\times 2=4[/tex]

Hence, the greatest number of skateboards that can be put in a section =4