Question

In a party, one-fifth of the guests wanted cool drinks only. Out of the remaining, half of them liked coffee and two-thirds like tea. If 12 of the guests opted for both coffee and tea, how many guests had attended the party?

• A. 72
• B. 88
• C. 90
• D. 100

Answer 1

Answer:

C. 90

Let total number of guests be x, then Number of guests who wanted cool drinks = x X 1/5 = x/5 Remaining guests = x - x/5 = 4x/5 Number of guests who liked coffee = 4x/5 X 1/2 = 2x/5 Number of guests who liked tea = 4x/5 X 2/3 = 8x/15 Number of guests who liked tea and coffee both = 8x/15- 2x/5 = (8x - 6x)/15 = 2x/15 According to the question 2x/15 = 12 x = 12 X 15/2 x = 90