Question

In a college 945 are boys 65% are girls .find the no of girls in college.

Answer 1

$\mathfrak{Answer:}$

= 1755.

$\mathfrak{Step-by-step\:Explanation:}$

$\underline{\bold{Given\:in\:the\:Question:}}$

• Number of boys in the college = 945.
• Percentage of girls in the college = 65%.

$\underline{\bold{To\:Find:}}$

• Number of girls in the college.

$\mathfrak{Solution:}$

Let the total no. of students be x.

So

• Percentage of boys in the college = (100 - 65)% = 35%.

According to question ,

$\implies\tt{x\:of\:35\%=945}\\\\\\\implies\tt{x\times\dfrac{35}{100}=945}\\\\\\\implies\tt{x=945\times\dfrac{100}{35}}\\\\\\\implies\tt{x=27\times 100}\\\\\\\implies\tt{x=2700.}\\\\\\\\\bold{No.\:of\:girls=65\%\:of\:2700}\\\\\\\tt{=\dfrac{65}{100}\times 2700}\\\\\\\tt{=65\times 27}\\\\\\\tt{=1755.}\\\\\\\boxed{\boxed{\bold{No.\:of\:girls=1755.}}}$

Answer 2

$\textbf{\large{\underline{Answer :-}}}$

$\text{Total girls are 1755}$

$\textbf{\large{\underline{Explanation :-}}}$

$\textsf{\underline{\underline{Given :}}}$

Total boys in the college = 945

Girls = 65%

$\textsf{\underline{\underline{To find : }}}$

The total number of girls in the college.

$\textsf{\underline{\underline{Solution :}}}$

$\textbf{Step 1 :}$

Find the percentage of boys :

$\sf{\implies100\% - 65\%}$

$\sf{\implies35\%}$

Boys = 35 %

$\textbf{Step 2 :}$

Find the total students in the college.

Consider the total students as y

As the boys are 35% of the total students and are 945 in number. Total students =

$\sf{\implies35\% \: of \: y = 945}$

$\sf{\implies \dfrac{35}{100} \times y = 945}$

$\sf{\implies \dfrac{35y}{100} = 945 }$

$\sf{\implies35y = 945 \times 100}$

$\sf{\implies35y = 94500}$

$\sf{\implies \: y = \dfrac{94500}{35} }$

$\sf{\implies \: y = 2700}$

$\large{\boxed{\bigstar{\sf \: {Total \: students = 2700}}}}$

As we got the total students we can find the number of girls.

As 65% of total students are girls, girls =

$\sf{\implies65\% \: of \: 2700}$

$\sf{\implies \dfrac{65}{100} \times 2700 }$

$\sf{\implies \dfrac{65}{1{\cancel{00}}} \times 27{\cancel{00}}}$

$\sf{\implies65 \times 27 }$

$\sf{\implies1755}$

$\large{\boxed{\bigstar{\sf \: {Total \: girls = 1755}}}}$

$\therefore$$\text{The total girls are 1755}$