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The are 15 girls and 15 boys in the first grade classroom. No girls ar

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Bunuel
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The are 15 girls and 15 boys in the first grade classroom. No girls ar [#permalink] New post   03 Jul 2020, 05:32
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The are 15 girls and 15 boys in the first grade classroom. No girls are to be added or removed from the classroom. What is the least number of the boys that can be removed from the class so that the ratio of girls to boys is 5 to 3 ?


(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
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C
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Re: The are 15 girls and 15 boys in the first grade classroom. No girls ar [#permalink] New post   03 Jul 2020, 05:35
Explanation:
15 boys & 15 Girls
Current ratio 1:1
Required Ratio = 5:3
No girls can be removed.
15/9, means 6 boys have to be removed

IMO-C
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Re: The are 15 girls and 15 boys in the first grade classroom. No girls ar [#permalink] New post   03 Jul 2020, 05:37
Bunuel wrote:
The are 15 girls and 15 boys in the first grade classroom. No girls are to be added or removed from the classroom. What is the least number of the boys that can be removed from the class so that the ratio of girls to boys is 5 to 3 ?


(A) 4
(B) 5
(C) 6
(D) 7
(E) 8


Girls = 15
Boys = 15
Required ratio of girls to boys = 5 to 3 = 15 to 9
Therefore, boys to be removed are 15-9 = 6

Hence, OA is (C).
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Re: The are 15 girls and 15 boys in the first grade classroom. No girls ar [#permalink] New post   03 Jul 2020, 09:11
Bunuel wrote:
The are 15 girls and 15 boys in the first grade classroom. No girls are to be added or removed from the classroom. What is the least number of the boys that can be removed from the class so that the ratio of girls to boys is 5 to 3 ?


(A) 4
(B) 5
(C) 6
(D) 7
(E) 8


given info
target ratio of girls : boys and no girl is to be removed or added and find least number of boys that should be removed to get ratio girls:boys ; 5:3
solve
15/15-x= 5/3
solve for x = 6
option C
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Re: The are 15 girls and 15 boys in the first grade classroom. No girls ar [#permalink] New post   03 Jul 2020, 09:30
15 boys & 15 Girls
Hence, current ratio 1:1
Required Ratio = 5:3
Let the no. Of boys removed to achieve desired ratio be x.

15/15-x= 5/3
solve for x = 6

OA: C

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Re: The are 15 girls and 15 boys in the first grade classroom. No girls ar [#permalink] New post   03 Jul 2020, 10:38
Bunuel wrote:
The are 15 girls and 15 boys in the first grade classroom. No girls are to be added or removed from the classroom. What is the least number of the boys that can be removed from the class so that the ratio of girls to boys is 5 to 3 ?


(A) 4
(B) 5
(C) 6
(D) 7
(E) 8


Given: The are 15 girls and 15 boys in the first grade classroom. No girls are to be added or removed from the classroom.
Asked: What is the least number of the boys that can be removed from the class so that the ratio of girls to boys is 5 to 3 ?

Since girls = 15
Let the boys to be removed = x boys

15 / (15-x) = 5/3
15 - x = 9
x = 6

IMO C
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Re: The are 15 girls and 15 boys in the first grade classroom. No girls ar [#permalink] New post   04 Jul 2020, 01:48
Expert Reply
Bunuel wrote:
The are 15 girls and 15 boys in the first grade classroom. No girls are to be added or removed from the classroom. What is the least number of the boys that can be removed from the class so that the ratio of girls to boys is 5 to 3 ?


(A) 4
(B) 5
(C) 6
(D) 7
(E) 8


Solution


    • There are 15 girls and 15 boys in the classroom.
    • Let us assume that b boys are removed from the class.
      o So, number of boys left in the classroom = 15 – b.
    • Now, \(\frac{15}{15-b} = \frac{5}{3} ⟹\frac{3}{15-b} = \frac{1}{3} ⟹ 15 – b = 9 ⟹ b = 6\)
Thus, the correct answer is Option C.
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Re: The are 15 girls and 15 boys in the first grade classroom. No girls ar [#permalink] New post   04 Jul 2020, 02:34
1:1= 15:15

Must be
5g:3B

Therefore

3boy :5 Girl
6boy : 10 girl
9 boy :15 Girl

15 boy - 9 boy = 6 boy

Answer is 6
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Re: The are 15 girls and 15 boys in the first grade classroom. No girls ar [#permalink]
04 Jul 2020, 02:34
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