Nala has 24 toy cars and 36 toy airplanes to gift wrap. She wants to have the same number of each item in every basket. What is the greatest number of baskets she can make without having any of the items left over?

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06-09-2019
Mathematics

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Nala has 24 toy cars and 36 toy airplanes to gift wrap. She wants to have the same number of each item in every basket. What is the greatest number of baskets she can make without having any of the items left over?

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frika frika · Answer 1 · 2019-09-18T11:37:39+02:00

Answer:

The greatest number of baskets Nala can make without having any of the items left over is 12, there will be 2 toy cars and 3 toy airplanes in each box.

Step-by-step explanation:

First, factorize numbers 24 and 36:

[tex]24=\underline{2\cdot 2}\cdot 2\cdot \underline{3}\\ \\36=\underline{2\cdot 2\cdot 3}\cdot 3[/tex]

The common multiples are 2, 2 and 3, so the greatest common multiple is

[tex]GCF(24,36)=2\cdot 2\cdot 3=12[/tex]

Now, the greatest number of baskets Nala can make without having any of the items left over is 12, there will be 2 toy cars and 3 toy airplanes in each box.