Math, asked by shivasinghmohan629, 1 month ago

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The number of boys and girls in a class is in the ratio 8: 5. The number of boys is 9 more than the number of girls. The total number of students in the class is​

Answers

Answered by xitzwinterbearx
12

see solve like this

hope it will help

Attachments:
Answered by XItzNobitaxX
9

{\large{\bf{\red{\clubs{\underline{Given :}}}}}}

The number of boys and girls in a class is in the ratio 8: 5. The number of boys is 9 more than the number of girls.

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{\large{\bf{\blue{\clubs{\underline{To Find:}}}}}}

Find the total no. of students in class.

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{\large{\bf{\orange{\clubs{\underline{Solution :}}}}}}

Let the ratio be x :

{\sf{\purple{No. \:  of  \: boys = 8x}}}

{\sf{\purple{No. \:  of \:  girls = 5x}}}

The no. of boys is 9 more than girls.

{\sf{\purple{No.  \: of  \: boys.      =        No.  \: of \:  girls}}}

{\sf{\green{8x                  = 5x + 9}}}

{\sf{\green{= 8x = 5x + 9}}}

{\sf{\green{= 8x - 5x = 9}}}

{\sf{\green{= 3x  = 9}}}

{\sf{\green{= x = 9  \div 3 }}}

{\sf{\red{\boxed{X = 3}}}}

So,

{\sf{\orange{No. \:  of  \: boys = 8x = 8 \times 3 = 24 boys}}}

{\sf{\orange{No.  \: of \:  girls = 5x = 5 \times 3 = 15 girls}}}

{\sf{\orange{Total  \: no. \:  of  \: students = 24 + 15 = 39  \: students }}}</u></p><p></p><p></p><p></p><h2> ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄</h2><p><u>[tex]{\large{\fcolorbox{green}{red}{\underline{XitzNobitaxX}}}}

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