IXL | Use Venn diagrams to solve problems

6 of the people in Craig's office can play the xylophone and 9 can play the violin. 5 people can play both the xylophone and the violin. How many people can play the xylophone but not the violin?

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

I can play the xylophone

I can play the violin

people

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Learn with an example

question

Of the children in Scarlett's class, 5 like to play on the jungle gym. 8 children like to play on the swings. 3 children like to play on both the jungle gym and the swings. How many children like to play on the swings but not the jungle gym?

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

I like to play on the jungle gym

I like to play on the swings

children

solution

Make a Venn diagram to solve the problem.

I like to play on the jungle gym

I like to play on the swings

3 children like to play on both the jungle gym and the swings. Put 3 dots in the area that is in both circles.

I like to play on the jungle gym

I like to play on the swings

Now add dots to the other two areas until there are 5 dots in the "I like to play on the jungle gym" circle and 8 dots in the "I like to play on the swings" circle.

I like to play on the jungle gym

I like to play on the swings

Count the dots that are in the "I like to play on the swings" circle but are not in the "I like to play on the jungle gym" circle. There are 5 dots.

5 children like to play on the swings but not the jungle gym.

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