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In a college union, there are 48 students. The ratio of the number of boys to the number of girls is 5 : 3. The number of girls to be added in the union, so that the number of boys to girls in 6 : 5 is = ?

16
27
312
417

Answer:- 1

Explanation:-

Solution:

And ratio of numbers of boys to the number of girls is 5x : 3x
According to the question,

\begin{aligned} \Rightarrow 5 x + 3 x = 48 \\ \Rightarrow 8 x = 48 \\ \Rightarrow x = 6 \\ Boys = 30 \\ Girl = 18 \\ Now, \frac{30}{18 + y} = \frac{6}{5} \\ \Rightarrow 25 = 18 + y \\ \Rightarrow y = 7 \end{aligned}

$\eqalign{ & \Rightarrow 5x + 3x = 48 \cr & \Rightarrow 8x = 48 \cr & \Rightarrow \boxed{x = 6} \cr & {\text{Boys}} = 30 \cr & {\text{Girl}} = 18 \cr & {\text{Now,}}\frac{{30}}{{18 + y}} = \frac{6}{5} \cr & \Rightarrow 25 = 18 + y \cr & \Rightarrow y = 7 \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

And ratio of numbers of boys to the number of girls is 5x : 3x
According to the question,

\begin{aligned} \Rightarrow 5 x + 3 x = 48 \\ \Rightarrow 8 x = 48 \\ \Rightarrow x = 6 \\ Boys = 30 \\ Girl = 18 \\ Now, \frac{30}{18 + y} = \frac{6}{5} \\ \Rightarrow 25 = 18 + y \\ \Rightarrow y = 7 \end{aligned}

$\eqalign{ & \Rightarrow 5x + 3x = 48 \cr & \Rightarrow 8x = 48 \cr & \Rightarrow \boxed{x = 6} \cr & {\text{Boys}} = 30 \cr & {\text{Girl}} = 18 \cr & {\text{Now,}}\frac{{30}}{{18 + y}} = \frac{6}{5} \cr & \Rightarrow 25 = 18 + y \cr & \Rightarrow y = 7 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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