Math, asked by hshshsaggagh, 6 months ago

Number of boys and girls in a class are in the ratio 6 : 5 . The number of boys is 4 more than the number of girls. The total class strength is

Answers

Answered by sandeepshukla1402198

20 girls and 24 boys.

Total strength = 44 students.

Answered by Anonymous

ㅤ $\;\;\underline{\textbf{\textsf{ Given:-}}}\\ \\$

• Number of boys and girls in a class are in the ratio 6 : 5 .

• The number of boys is 4 more than the number of girls.

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ㅤ $\;\;\underline{\textbf{\textsf{ To Find :-}}}\\ \\$

• Total class strength

$\\$

ㅤ $\;\;\underline{\textbf{\textsf{ Solution :-}}}\\ \\$

$\sf \: \begin{cases} \sf \: Let \: the \: no. \: of \: boys = 6x\\ \sf \: Let \: the \: no. \: of \: girls = 5x \end{cases}$

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$\bf\underline{\green{\:\:\:\:\:\:\:\:A.T.Q:-\:\:\:\:\:\:\:}}$

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$\dashrightarrow \sf \: \: \: No. \: of \: boys = No. \: of \: girls + 4 \\ \\ \\$

$\dashrightarrow \sf \: \: \: 6x = 5x + 4 \\ \\ \\$

$\dashrightarrow \sf \: \: \: 6x - 5x = 4 \\ \\ \\$

$\dashrightarrow {\boxed{\frak{\purple{x= 4}}}}\;\\ \\$

ㅤ $\;\;\underline{\textbf{\textsf{ Hence-}}}$

$\\$

• No. of Boys = 6x = 6 × 4 = 24

• No. of Girls = 5x = 5 × 4 = 20

$\\$

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A.T.Q :-

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We are asked to find total class strength.

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$\cdot \: { \underline{ \underline{ \sf{ \purple{Total \: Students\: will\:be :}}}}}$

$\dashrightarrow \sf \: \: \: No. \: of \: Boys + No. \: of \: Girls \\ \\ \\$

$\dashrightarrow \sf \: \: \: 24 + 20 \\ \\ \\$

$\dashrightarrow \sf \: \: \: \large \purple{44}$

ㅤ $\;\;\underline{\textbf{\textsf{ Therefore -}}}$

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$\underline{\textsf{ The total strength of class is \textbf{ 44 }}}.$

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