Question

ln a certain class, 72% of the students prefer cold coffee and 44% prefer fruit juice. lf each of them prefers cold coffee or fruit juice and 48 likes both, the total number of students in the class is

Options

• 240

• 200

• 300

• 250

Answer 1

300

Explanation:

n(C) = 72%

n(F) = 44%

n(C`∩`F) = ?

n(F`∩`C) = n(C) + n(F) − n(C`∪`F)

= 72 + 44 − 100

116 − 100 = 16%

16% of student = 48

`16/100xx"S"=48`

S = 300