Discussion
In a company, 35% of the employees drink coffee, 40% of the employees drink tea and 10% of the employees drink both tea and coffee. What % of employees drink neither tea nor coffee?
Answer: C
The answer is 35 per cent.
By inclusion and exclusion, the share drinking at least one of the two is
\[ \begin{aligned} 35 + 40 - 10 &= 65\% \\ 100 - 65 &= 35\% \end{aligned} \]
so 35% drink neither. 25% comes from adding the overlap instead of subtracting it (35 + 40 + 10 = 85), and 15 or 40 do not follow from any consistent count. The 10% who drink both are inside both the 35% and the 40%, which is why they are subtracted once.
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