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At a private school, the student to teacher ratio is 6 to 1. If the number of teachers were to increase by 50%, while the number of students remains the same, what would be the new student to teacher ratio?
  • a)
    3:1
  • b)
    4:1
  • c)
    5:1
  • d)
    9:1
  • e)
    Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
At a private school, the student to teacher ratio is 6 to 1. If the nu...
Understanding the Initial Ratio
The initial student-to-teacher ratio at the private school is 6 to 1. This means for every 6 students, there is 1 teacher.
- Let’s denote the number of students as S and the number of teachers as T.
- From the ratio, we have:
S = 6T
Calculating the New Number of Teachers
If the number of teachers increases by 50%, we need to calculate the new number of teachers.
- The increase in teachers can be calculated as:
New Teachers = T + (50% of T)
New Teachers = T + 0.5T = 1.5T
Finding the New Student-to-Teacher Ratio
Now, we will determine the new student-to-teacher ratio with the unchanged number of students and increased teachers.
- The number of students remains S.
- The new number of teachers is 1.5T.
Now, we find the new ratio:
New Ratio = S : (1.5T)
Substituting the original number of students (S = 6T):
New Ratio = 6T : (1.5T)
- Simplifying this gives:
New Ratio = 6 : 1.5 = 4 : 1
Conclusion
Thus, the new student-to-teacher ratio after a 50% increase in the number of teachers is 4 to 1.
The correct answer is option B.
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At a private school, the student to teacher ratio is 6 to 1. If the number of teachers were to increase by 50%, while the number of students remains the same, what would be the new student to teacher ratio?a)3:1b)4:1c)5:1d)9:1e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
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