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Sam needs [tex]4[/tex] trays.

Given:

The number of friends is [tex]8[/tex].

Muffins required for each friend are [tex]3[/tex].

The capacity of each tray is [tex]6[/tex] muffins.

To find:

The required number of trays.

Explanation:

Let [tex]x[/tex] be the required number of trays.

Total quantity of muffins in [tex]x[/tex] trays is [tex]6x[/tex].

Total quantity of required muffins is:

[tex]8\times 3=24[/tex]

Now,

[tex]6x=24[/tex]

[tex]x=\dfrac{24}{6}[/tex]

[tex]x=4[/tex]

Therefore, Sam needs [tex]4[/tex] trays.

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