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A teacher is making gift bags. Each bag is to be filled with pencils and stickers. The teacher has 24 pencils and 30 stick stickers to use each bag will have the same number of each item with no items left over.



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chibabykalu16

Answer:

6 bags with each containing 4 pencils and 5 sticks

Step-by-step explanation:

We can calculate this by finding the least possible whole number that can be used to share this equally between each individual (x):
[tex]x = GCD (24,30)[/tex]

So we can find the value by solving for the GCD (HCF, HCM, GCF) through various methods using the Euclidean algorithm or Grids layout method.

Grid layout - first attachment

Euclidean algorithm - second attachment
So since the GCD is 6 that means each gift will receive total count/6 which is;

  • 24 pencils / 6 = 4 pencils per bag
  • 30 sticks / 6 = 5 sticks per bag

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