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In a class, there are 18 very tall boys. 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?
  • a)
    6
  • b)
    12
  • c)
    18
  • d)
    21
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In a class, there are 18 very tall boys. If these constitute three-fou...
Given information:
- 18 very tall boys constitute three-fourths of the boys in the class.
- The total number of boys is two-thirds of the total number of students in the class.

To find: The number of girls in the class.

Solution:
Let the total number of boys in the class be B.
According to the first condition, 18 boys constitute three-fourths of B.
So, (3/4)B = 18
B = (18*4)/3 = 24

According to the second condition, the total number of boys is two-thirds of the total number of students in the class.
Let the total number of students in the class be S.
So, (2/3)S = B
Substituting the value of B, we get
(2/3)S = 24
S = (24*3)/2 = 36

Now, we know that there are 24 boys in the class. To find the number of girls, we need to subtract the number of boys from the total number of students in the class.
Number of girls = Total number of students - Number of boys
Number of girls = 36 - 24
Number of girls = 12

Therefore, the number of girls in the class is 12. Option (B) is the correct answer.
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Community Answer
In a class, there are 18 very tall boys. If these constitute three-fou...
Let x be total number of boys in class
3/4x = 18
x= 24

Now,
y be total number of Students in class
2/3 y = 24
y= 36

Number of Girls = 36-24 = 12
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