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Bunuel
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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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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Bunuel
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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Bunuel
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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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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