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Problem of the Week
Problem A
Pet Problem

There are \(30\) students in Ms. Chan’s class. They were discussing their pets. They were asked three questions and the results are shown in the table below:

Question Number of Students Who Answered Yes
Do you have at least one dog at home? \(16\)
Do you have at least one cat at home? \(19\)
Do you have both at least one cat and at least one dog at home? \(11\)

How many students have neither cats nor dogs at home? You may use a Venn diagram to help solve this problem.

A blank Venn diagram with two overlapping circles, one labelled Dogs and one labelled Cats.

Not printing this page? You can use the Venn diagram on our interactive worksheet.