IXL | Use Venn diagrams to solve problems

Of the people in Jeremiah's apartment building, 5 like peach cobbler and 6 like pineapple cake. 4 people like both peach cobbler and pineapple cake. How many people like peach cobbler but not pineapple cake?

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

I like peach cobbler

I like pineapple cake

people

ref_doc_title.

Learn with an example

question

Of the people in Rick's neighborhood, 5 can swim the breaststroke and 4 can swim the backstroke. 2 people can swim both the breaststroke and the backstroke. How many people can swim the breaststroke or the backstroke or both?

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

I can swim the breaststroke

I can swim the backstroke

people

solution

Make a Venn diagram to solve the problem.

I can swim the breaststroke

I can swim the backstroke

2 people can swim both the breaststroke and the backstroke. Put 2 dots in the area that is in both circles.

I can swim the breaststroke

I can swim the backstroke

Now add dots to the other two areas until there are 5 dots in the "I can swim the breaststroke" circle and 4 dots in the "I can swim the backstroke" circle.

I can swim the breaststroke

I can swim the backstroke

Count the total number of dots in the diagram. There are 7 dots.

7 people can swim the breaststroke or the backstroke or both.

Looking for more? Try this:

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	04

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? This can help:

MM.1Count shapes in a Venn diagram

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!