Question

A survey revealed that 50 people liked coffee and 40 liked tea. Both these figures include 35 who like both coffee and tea
. Finally, ten did not like either coffee or tea. How many people in all responded to the survey
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Answer 1

Answer:

Step-by-step explanation:

Draw a Venn diagram:

There's an overlap of 35 people that like both coffee and tea. That means there are 15 people that only like coffee and 5 people that only like tea. And there are 10 people that like neither.

Then add up all the people:

15 + 35 + 5 + 10 = 65

And for the people that don't like coffee, just subtract the 50 that do:

65 - 50 = 15

(Or you can add the 5 that only like tea and the 10 that like neither = 15)

Answer:

65 people surveyed

15 do not like coffee