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Venn Diagram: Word Problems

Use Venn diagram to solve a problem

Use a Venn diagram to help you solve the problem

A group of 63 students was surveyed, and it was found that each of the students surveyed liked at least one of the following three fruits: apricots, bananas, and cantaloupes.
34 liked apricots.
30 liked bananas.
33 liked cantaloupes.
11 liked apricots and bananas.
15 liked bananas and cantaloupes.
17 liked apricots and cantaloupes.
9 liked all fruits: apricots, bananas, and cantaloupes.
How many students liked only apricots?

 

students 

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Use a Venn diagram to help you solve the problem

In a company of 28 people, 10 love cats, 14 love dogs, 7 love both cats and dogs, how many people love neither of the two?

 

people

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250 new college freshmen were registered. 85 were registered for a Math class, 70 were registered for an English class and 50  were registered for both Math and English. How many signed up only for an English Class?

 

College freshmen

Use Venn diagram to solve a problem

Use a Venn diagram to help you solve the problem

A group of 63 students was surveyed, and it was found that each of the students surveyed liked at least one of the following three fruits: apricots, bananas, and cantaloupes.
34 liked apricots.
30 liked bananas.
33 liked cantaloupes.
11 liked apricots and bananas.
15 liked bananas and cantaloupes.
17 liked apricots and cantaloupes.
9 liked all fruits: apricots, bananas, and cantaloupes.
How many students liked only bananas?

 

students 

Use Venn diagram to solve a problem

Use a Venn diagram to help you solve the problem

A group of 63 students was surveyed, and it was found that each of the students surveyed liked at least one of the following three fruits: apricots, bananas, and cantaloupes.
34 liked apricots.
30 liked bananas.
33 liked cantaloupes.
11 liked apricots and bananas.
15 liked bananas and cantaloupes.
17 liked apricots and cantaloupes.
9 liked all fruits: apricots, bananas, and cantaloupes.
How many students liked only bananas and cantaloupes?

 

students 

Use Venn diagram to solve a problem

Use a Venn diagram to help you solve the problem

At a breakfast buffet, 93 people chose coffee and 47 people chose juice. 25 people chose both coffee and juice. How many people chose coffee or juice?

 

people

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Use a Venn diagram to help you solve the problem

In a class of 40 students, 19 are studying French, 12 are studying Spanish, and 7 are studying both French and Spanish. How many students are not taking any foreign languages?

 

students 

Use Venn diagram to solve a problem

Use a Venn diagram to help you solve the problem

In a group of 100 students, 50 like math, 29 like science, 35 like English. 6 like both math and science only, 8 like both science and English, 12 like both math and English and 5 like all the three subjects. how many people like none of the three subjects?

 

students 

Use Venn diagram to solve a problem

Use a Venn diagram to help you solve the problem

A group of 63 students was surveyed, and it was found that each of the students surveyed liked at least one of the following three fruits: apricots, bananas, and cantaloupes.
34 liked apricots.
30 liked bananas.
33 liked cantaloupes.
11 liked apricots and bananas.
15 liked bananas and cantaloupes.
17 liked apricots and cantaloupes.
9 liked all fruits: apricots, bananas, and cantaloupes.
How many students liked only cantaloupes?

 

students 

Use Venn diagram to solve a problem

Use a Venn diagram to help you solve the problem

In a class, there are 20 students who love music, 26 students who love sports, 8 students who love both, and 6 students who don't like either. How many students are in the class?

 

students