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At a private school, the student to teacher ratio is 6 to 1. If the nu

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At a private school, the student to teacher ratio is 6 to 1. If the nu  [#permalink]

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09 Apr 2018, 07:30
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Difficulty:

25% (medium)

Question Stats:

78% (01:03) correct 22% (00:55) wrong based on 60 sessions

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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

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Joined: 07 Jun 2016
Posts: 10
Re: At a private school, the student to teacher ratio is 6 to 1. If the nu  [#permalink]

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09 Apr 2018, 07:38
Ans B. 4:1, for example there are 12 students for every 2 teachers. Now lets increase the number of teachers by 50% which comes out to be 3 teachers. Therefore for every 12 students there are now 3 teachers. Give us 12:3.
After simplifying further we get 4:1. Ans B

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Re: At a private school, the student to teacher ratio is 6 to 1. If the nu  [#permalink]

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09 Apr 2018, 07:50
Bunuel wrote:
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

Let total number of student and teachers=14m

student=12m
teacher =2m

new teacher=3m (50% increase)

new ratio=12m/3m=4:1

B
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Re: At a private school, the student to teacher ratio is 6 to 1. If the nu  [#permalink]

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09 Apr 2018, 09:39
Bunuel wrote:
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

student : teacher
6 : 1

let's assume total no. of student and teacher= 14 ( As we have ratio 6+1=7, total will be the multiple of 7. )

student=12
teacher=2
now , it's given in the question that no. of teachers were to increase by 50%.

now , we have only 2 teachers. 50% of 2 is 1.
so, new no. will be 3.

so new ratio= 12/3=4:1 Note: there were no change in student's no.

So, the correct answer will be B.
Re: At a private school, the student to teacher ratio is 6 to 1. If the nu   [#permalink] 09 Apr 2018, 09:39
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