Question

In a certain class, $72\%$ of the students prefer cold coffee and $44\%$ prefer fruit juice if each of them prefers cold coffee or fruit juice and $48$ likes both, the total number of students in the class is

• A. $240$
• B. $200$
• C. $300$
• D. $250$

Answer 1

The correct option is C $300$

n(C) = $72\%$

n(F) = $44\%$

$n(C\cap F)$ = ?

$n(F\cap C)=n\left(C\right)+n\left(F\right)-n(C\cup F)$

= $72+44-100$

$116-100=16\%$

$16\%ofstudent=48$

$\frac{16}{100}\times S=48$

$S=300$