Steve is collecting toy cars. He already has 100 of them! 42 of them are new, 19 are his favorites; 3 are new and a favorite. Steve is going to donate to his school's yard sale all of them that neither new nor favorite. How many toy cars will he donate?

Question

Mathematics

Bradyn Blankenship

31 July, 05:31

Steve is collecting toy cars. He already has 100 of them! 42 of them are new, 19 are his favorites; 3 are new and a favorite. Steve is going to donate to his school's yard sale all of them that neither new nor favorite. How many toy cars will he donate?

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Answers (1)

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Hezekiah Tapia · Answer 1

42

Step-by-step explanation:

This can be done with a Venn diagram, but I can't draw it here, so I'll explain it.

Of the 42 new ones, 3 are also his favorite. That means there are 39 new that are not favorite.

Of the 19 favorites, 3 are also new, so 16 are favorite but not new.

New but not favorite: 39

Favorite but not new: 16

New and favorite: 3

Total above: 39 + 16 + 3 = 58

He has a grand total of 100 toy cars, so 100 - 58 = 42

42 are neither new nor favorite.