Discussion
44% of the students in the class are females and the number of male students is 42. Find the total number of students in the class.
Answer: C
The class has 75 students.
If 44% are females, the males are \(100 - 44 = 56\%\) of the class, and they number 42.
\[ \begin{aligned} 0.56 \times N &= 42 \\ N &= \frac{42}{0.56} = 75 \end{aligned} \]
Check: 44% of 75 is 33 females, and \(33 + 42 = 75\).
Taking 42 as 44% of the class (the female share) gives about 95, which is not offered. 70 would leave 28 females, 40% of the class, and 65 would make the males alone almost 65% of it. 45 would leave only 3 females, under 7% of the class.
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