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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?
  • a)
    6
  • b)
    12
  • c)
    18
  • d)
    24
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In a class, there are 18 boys who are over 160 cm tall. If these const...
Let the number of boys be x. Then, (3/4)x = 18 or x = 18 x(4/3) = 24.
If total number of students is y, then (2/3) y = 24 or y = 24 x (3/2) = 36.
Therefore Number of girls in the class = (36 – 24) = 12.
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Most Upvoted Answer
In a class, there are 18 boys who are over 160 cm tall. If these const...
Understanding the Problem
In the class, there are certain key pieces of information regarding the boys and the total number of students:
- There are 18 boys who are over 160 cm tall.
- These boys represent three-fourths of all the boys in the class.
- The total number of boys is two-thirds of the total number of students.
Finding the Total Number of Boys
To find the total number of boys in the class, we can set up the following equation:
- If 18 boys are three-fourths of the total boys, we can express this as:
Total Boys = (18 boys) / (3/4) = 18 * (4/3) = 24 boys.
Finding the Total Number of Students
Using the total number of boys to find the total students:
- Since the total number of boys (24) is two-thirds of the total number of students (S), we can write:
24 = (2/3) * S.
- Rearranging to find S:
S = 24 / (2/3) = 24 * (3/2) = 36 students.
Calculating the Number of Girls
Now that we have the total number of students, we can find the number of girls:
- Total Students = 36
- Total Boys = 24
Thus, the number of girls in the class is:
- Girls = Total Students - Total Boys
- Girls = 36 - 24 = 12 girls.
Conclusion
The number of girls in the class is 12, which matches option 'B'.
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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?a)6b)12c)18d)24Correct answer is option 'B'. Can you explain this answer?
Question Description
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