Question

In a class $3/5$ of the children are girls and the rest boys. If $2/9$ of the girls and $1/4$ of the boys are absent, what fraction of the class is present?

• A. $6/45$
• B. $16/49$
• C. $23/27$
• D. $23/30$

Answer 1

Answer: (D)

$23/30$

fraction of girls $=\frac{3}{5}$

fraction of boys $=\frac{2}{5}$

fraction of girls absent $=\frac{3}{5}\times \frac{2}{9}=\frac{2}{15}$

fraction of boys absent students $=\frac{2}{5}\times \frac{1}{4}=\frac{1}{10}$

Total fraction of students absent $=\frac{2}{15}\times \frac{1}{10}$

$=\frac{7}{30}$

Total fraction of students present $=1-\frac{7}{30}-\frac{23}{30}$