IXL | Use Venn diagrams to solve problems

Of the children in Lucy's class, 5 like to play on the swings. 5 children like to play on the jungle gym. 3 children like to play on both the swings and the jungle gym. How many children like to play on the swings or the jungle gym or both?

Hint: Copy and complete the Venn diagram below to help you solve the problem.

I like to play on the swings

I like to play on the jungle gym

children

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Learn with an example

question

Of the students in Victoria's grade, 4 have been on an airplane and 9 have been on a helicopter. 3 students have been on both an airplane and a helicopter. How many students have been on an airplane but not a helicopter?

Hint: Copy and complete the Venn diagram below to help you solve the problem.

I have been on an airplane

I have been on a helicopter

students

solution

Make a Venn diagram to solve the problem.

I have been on an airplane

I have been on a helicopter

3 students have been on both an airplane and a helicopter. Put 3 dots in the area that is in both circles.

I have been on an airplane

I have been on a helicopter

Now add dots to the other two areas until there are 4 dots in the "I have been on an airplane" circle and 9 dots in the "I have been on a helicopter" circle.

I have been on an airplane

I have been on a helicopter

Count the dots that are in the "I have been on an airplane" circle but are not in the "I have been on a helicopter" circle. There is 1 dot.

1 student has been on an airplane but not a helicopter.

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