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A consumer preference survey revealed that out of the 200 surveyed people 80 liked tea and 70 liked both tea and coffee. If 100 of the surveyed people liked neither tea nor coffee, how many of the surveyed people liked coffee but not tea?

A consumer preference survey revealed that out of the 200 surveyed people 80 liked tea and 70 liked both tea and coffee. If 100 of the surveyed people liked neither tea nor coffee, how many of the surveyed people liked coffee but not tea?

A. 10 B. 20 C. 40 D. 50 E. 60

Since \(\{Total\}=\{Tea\}+\{Coffee\}-\{Both\}+\{Neither\}\), then: \(200=80+\{Coffee\}-70+100\), so \(\{Coffee\}=90\).

Therefore the number of people who like coffee but not tea is \(\{Coffee\}-\{Both\}=90-70=20\).