# 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
Explanation:-

Solution:
And ratio of numbers of boys to the number of girls is 5x : 3x
According to the question,
$\begin{array}{rl}& ⇒5x+3x=48\\ & ⇒8x=48\\ & ⇒\overline{)x=6}\\ & \text{Boys}=30\\ & \text{Girl}=18\\ & \text{Now,}\frac{30}{18+y}=\frac{6}{5}\\ & ⇒25=18+y\\ & ⇒y=7\end{array}$

$\begin{array}{rl}& ⇒5x+3x=48\\ & ⇒8x=48\\ & ⇒\overline{)x=6}\\ & \text{Boys}=30\\ & \text{Girl}=18\\ & \text{Now,}\frac{30}{18+y}=\frac{6}{5}\\ & ⇒25=18+y\\ & ⇒y=7\end{array}$