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Carter needs to wrap seven presents. He lays the ribbon out flat and says that I'll have just enough pieces if I make six equally spaced cuts, I can use one piece for each package. And I won't have any pieces left over. Does he have enough pieces to wrap all the presents?

Respuesta :

MrRoyal

Answer:

Yes, he has enough pieces to wrap the present

Step-by-step explanation:

Given

[tex]Presents = 7[/tex]

[tex]Cuts = 6[/tex]

Required

Is there enough pieces to wrap all presents

As a general rule;

When a piece is cut in 1 place, you get 2 pieces

When a piece is cut in 2 places, you get 3 pieces

When a piece is cut in 3 place, you get 4 pieces

This implies that:

n cuts gives n + 1 pieces

i.e.

[tex]n \to n + 1[/tex]

So, we have:

[tex]6\ cuts \to (6 + 1) pieces[/tex]

[tex]6\ cuts \to 7\ pieces[/tex]

Hence, there are enough pieces.

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