In a club, there are 58 members. Among them, 25 members drink tea, 23 members drink coffee and only 7 members drink both tea and coffee. What is the ratio of the number of members who drink tea or coffee but not both, to the number of members who drink neither tea nor coffee?
2 : 1
Let T = tea drinkers = 25, C = coffee drinkers = 23, both = 7.
Only tea = 25 − 7 = 18; only coffee = 23 − 7 = 16, so tea or coffee but not both = 18 + 16 = 34.
Tea or coffee (at least one) = 25 + 23 − 7 = 41, so neither tea nor coffee = 58 − 41 = 17.
Required ratio = 34 : 17 = 2 : 1.
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