The diagram shows the drinks chosen by the employees of an office in a survey. How many employees drink both Tea and Coffee? Venn diagram of three overlapping circles labelled Tea, Coffee and Juice inside a box labelled Employees surveyed. Only Tea: 24. Only Coffee: 15. Only Juice: 9. Tea and Coffee only: 8. Tea and Juice only: 6. Coffee and Juice only: 4. All three: 3. Outside all three: 5.

The diagram shows the drinks chosen by the…

The diagram shows the drinks chosen by the employees of an office in a survey.

EasyOriginal question

The diagram shows the drinks chosen by the employees of an office in a survey. How many employees drink both Tea and Coffee?

8Correct answerYour answer11Correct answerYour answer30Correct answerYour answer41Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

'Both Tea and Coffee' is every region inside both circles, whether or not the person also drinks Juice.
Tea and Coffee only 8, all three 3.
Both Tea and Coffee $= 8 + 3 = 11$ .

Worth noting

8 is 'Tea and Coffee only'. The stem does not say 'only', so the centre counts too. 30 and 41 are the whole Coffee and Tea circles.

Ten questions from Venn Diagrams, at your own pace.

Ten questions from Venn Diagrams, at your own pace.