In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?
Let the number of boys in the class = b
Given three-fourths of the boys in the class = 18
$$\Rightarrow$$ $$\frac{3}{4}$$b = 18
$$\Rightarrow$$ b = 24
Number of boys in the class = 24
Let the total number of students in the class = t
Given number of boys is two-thirds of the total number of students in the class
$$\Rightarrow$$ $$\frac{2}{3}$$t = 24
$$\Rightarrow$$ t = 36
Total number of students in class = 36
$$\therefore\ $$Number of girls in the class = 36 - 24 = 12
Hence, the correct answer is Option B
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