Question

In a group there are 24 boys and 40 girls. Find the :

Ratio of number of boys to number girls

Ratio of number of girls to number of boys

Ratio of number of boys to total numbers of students

Ratio of number of girls to total number of students​

Answer 1

GIVEN :-

• In a group there are 24 boys and 40 girls

TO FIND :-

• Ratio of number of boys to number girls

• Ratio of number of girls to number of boys

• Ratio of number of boys to total numbers of students

• Ratio of number of girls to total number of students

SOLUTION :-

★ Number of boys = 24

★ Number of girls = 40

★ Total number of students = 24 + 40 = 60

$\\☯ \begin{gathered} \: \underline{\bold{According\: to \:the\: Question :}} \\\end{gathered}$

$\begin{gathered}: \implies\displaystyle\sf Ratio \: of \: numbe r \: of \: boys \: to \: number \: girls \\ \\ \\\end{gathered} </p><p>$

$\begin{gathered}\dashrightarrow \underline{ \boxed{\displaystyle \sf 24: 40 = \frac{24}{40} = \frac{24 \div 8}{40 \div 8} = \frac{3}{5} = 3 :5 }} \\ \\\end{gathered} </p><p>$

$\begin{gathered}: \implies \displaystyle \sf Ratio \: of \: number \: o f \: girls \: to \: number \: of \: boys \\ \\ \\\end{gathered}$

$\begin{gathered}\dashrightarrow \underline{ \boxed{\displaystyle \sf 40: 24= \frac{40}{24} = \frac{40 \div 8}{24 \div 8} = \frac{5}{3} = 5 :3 }} \\ \\\end{gathered}$

___________________

$\\ \\ \\ \begin{gathered}: \implies \displaystyle \sf \: Ratio \: of \: number \: of \: boys \: to \: total \: numbers \: of \: students\\ \\ \\\end{gathered}$

$\begin{gathered}\dashrightarrow \underline{ \boxed{\displaystyle \sf 20: 64= \frac{24}{64} = \frac{24\div 8}{64 \div 8} = \frac{3}{8} = 3 : 8 }} \\ \\ \\ \end{gathered}$

$\begin{gathered}: \implies \displaystyle \sf Ratio \: of \: number \: of \: girls \: to \: total \: number \: of \: students\\ \\ \\ \end{gathered}$

$\begin{gathered}\dashrightarrow \underline{ \boxed{\displaystyle \sf 40: 64= \frac{40}{64} = \frac{40\div 8}{64 \div 8} = \frac{5}{8} = 5 : 8 }} \\ \\ \\ \end{gathered}$