IXL | Use Venn diagrams to solve problems

Of the people in Sophia's neighborhood, 4 have been on a radio show and 5 have been in a choir. 3 people have been both on a radio show and in a choir. How many people have been on a radio show but not in a choir?

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

I have been on a radio show

I have been in a choir

people

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Learn with an example

question

Of the people in Jared's family, 11 like to drink grapefruit juice and 9 like to drink soda. 6 people like to drink both grapefruit juice and soda. How many people like to drink soda but not grapefruit juice?

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

I like to drink grapefruit juice

I like to drink soda

people

solution

Make a Venn diagram to solve the problem.

I like to drink grapefruit juice

I like to drink soda

6 people like to drink both grapefruit juice and soda. Put 6 dots in the area that is in both circles.

I like to drink grapefruit juice

I like to drink soda

Now add dots to the other two areas until there are 11 dots in the "I like to drink grapefruit juice" circle and 9 dots in the "I like to drink soda" circle.

I like to drink grapefruit juice

I like to drink soda

Count the dots that are in the "I like to drink soda" circle but are not in the "I like to drink grapefruit juice" circle. There are 3 dots.

3 people like to drink soda but not grapefruit juice.

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