Question:
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 ?
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 ?
Updated On: Jan 30, 2025
- 6
- 12
- 18
- 24
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The Correct Option is B
Solution and Explanation
Let the number of boys in the class be \(b\).
According to the question,
\(\frac 23 b = 18\)
\(b = 24\)
Let the total number of students in the class be \(t\).
According to the question,
\(\frac 23t = 24\)
\(t = 36\)
Total number of students in class \(= 36\)
Number of girls in the class \(= 36 - 24 = 12\)
So, the correct option is (B) : 12.
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