asked 160k views
3 votes
Scooby needs to ship some DVDs. He has 16 comedy movies, 12 scary movies and 8 action movies. He can pack only one type of DVD in each box and he must pack the same number of DVDs in each box. What is the greatest number of DVDs Scooby can pack in each box?A.2B.4C.6D.8

asked
User Jeereddy
by
8.6k points

1 Answer

4 votes

He has 16 comedy movies, 12 scary movies and 8 action movies.

He can pack only one type of DVD in each box and he must pack the same number of DVDs in each box

So, we need to find the greatest common factor between 16 , 12 and 8

16 = 2 * 2 * 2 * 2

12 = 2 * 2 * * 3

8 = 2 * 2 * 2

---------------------------------

2 * 2 = 4

So,

The greatest number of DVDs Scooby can pack in each box = 2 * 2 = 4

The answer is option B. 4

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More explanations :

So, he will pack 16 comedy movies at 4 packs, each pack has 4 DVDs

And he will pack 12 scary movies at 3 packs, each pack has 4 DVDs

And he will pack 8 action movies at 2 packs, each pack has 4 DVDs

So, the total number of packs = 4 + 3 + 2 = 9 packs

answered
User Farhawa
by
8.2k points
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